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Finding the Third Proportional to 302,463 and 456,124.50

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Solution

The third proportional to 302,463 and 456,124.50 is: 687,851.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,463 : 456,124.50 = 456,124.50 : x
  2. Step 2: Convert to fraction form
    302,463/456,124.50 = 456,124.50/x
  3. Step 3: Cross multiply
    302,463x = 456,124.50 × 456,124.50
  4. Step 4: Simplify right side
    302,463x = 208,049,559,500.25
  5. Step 5: Solve for x
    x = 208,049,559,500.25/302,463
  6. Step 6: Final answer
    x = 687,851.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.