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Finding the Third Proportional to 424,752 and 928,272

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Solution

The third proportional to 424,752 and 928,272 is: 2,028,687.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,752 : 928,272 = 928,272 : x
  2. Step 2: Convert to fraction form
    424,752/928,272 = 928,272/x
  3. Step 3: Cross multiply
    424,752x = 928,272 × 928,272
  4. Step 4: Simplify right side
    424,752x = 861,688,905,984
  5. Step 5: Solve for x
    x = 861,688,905,984/424,752
  6. Step 6: Final answer
    x = 2,028,687.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.