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Finding the Third Proportional to 377,292 and 808,572

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Solution

The third proportional to 377,292 and 808,572 is: 1,732,845.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,292 : 808,572 = 808,572 : x
  2. Step 2: Convert to fraction form
    377,292/808,572 = 808,572/x
  3. Step 3: Cross multiply
    377,292x = 808,572 × 808,572
  4. Step 4: Simplify right side
    377,292x = 653,788,679,184
  5. Step 5: Solve for x
    x = 653,788,679,184/377,292
  6. Step 6: Final answer
    x = 1,732,845.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.