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Finding the Third Proportional to 508,217 and 748,246

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Solution

The third proportional to 508,217 and 748,246 is: 1,101,639.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,217 : 748,246 = 748,246 : x
  2. Step 2: Convert to fraction form
    508,217/748,246 = 748,246/x
  3. Step 3: Cross multiply
    508,217x = 748,246 × 748,246
  4. Step 4: Simplify right side
    508,217x = 559,872,076,516
  5. Step 5: Solve for x
    x = 559,872,076,516/508,217
  6. Step 6: Final answer
    x = 1,101,639.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.