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Finding the Third Proportional to 371,430 and 801,972

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Solution

The third proportional to 371,430 and 801,972 is: 1,731,575.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,430 : 801,972 = 801,972 : x
  2. Step 2: Convert to fraction form
    371,430/801,972 = 801,972/x
  3. Step 3: Cross multiply
    371,430x = 801,972 × 801,972
  4. Step 4: Simplify right side
    371,430x = 643,159,088,784
  5. Step 5: Solve for x
    x = 643,159,088,784/371,430
  6. Step 6: Final answer
    x = 1,731,575.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.