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Finding the Third Proportional to 302,024,270 and 466,388,523

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Solution

The third proportional to 302,024,270 and 466,388,523 is: 720,201,242.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,024,270 : 466,388,523 = 466,388,523 : x
  2. Step 2: Convert to fraction form
    302,024,270/466,388,523 = 466,388,523/x
  3. Step 3: Cross multiply
    302,024,270x = 466,388,523 × 466,388,523
  4. Step 4: Simplify right side
    302,024,270x = 217,518,254,386,121,536
  5. Step 5: Solve for x
    x = 217,518,254,386,121,536/302,024,270
  6. Step 6: Final answer
    x = 720,201,242.06

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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.