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Finding the Third Proportional to 371,428 and 801,968

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Solution

The third proportional to 371,428 and 801,968 is: 1,731,567.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,428 : 801,968 = 801,968 : x
  2. Step 2: Convert to fraction form
    371,428/801,968 = 801,968/x
  3. Step 3: Cross multiply
    371,428x = 801,968 × 801,968
  4. Step 4: Simplify right side
    371,428x = 643,152,673,024
  5. Step 5: Solve for x
    x = 643,152,673,024/371,428
  6. Step 6: Final answer
    x = 1,731,567.55

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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.