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Finding the Third Proportional to 302,097,004.50 and 466,490,614.50

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Solution

The third proportional to 302,097,004.50 and 466,490,614.50 is: 720,343,102.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,097,004.50 : 466,490,614.50 = 466,490,614.50 : x
  2. Step 2: Convert to fraction form
    302,097,004.50/466,490,614.50 = 466,490,614.50/x
  3. Step 3: Cross multiply
    302,097,004.50x = 466,490,614.50 × 466,490,614.50
  4. Step 4: Simplify right side
    302,097,004.50x = 217,613,493,416,587,616
  5. Step 5: Solve for x
    x = 217,613,493,416,587,616/302,097,004.50
  6. Step 6: Final answer
    x = 720,343,102.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.