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Finding the Third Proportional to 573,382 and 801,969

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Solution

The third proportional to 573,382 and 801,969 is: 1,121,685.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,382 : 801,969 = 801,969 : x
  2. Step 2: Convert to fraction form
    573,382/801,969 = 801,969/x
  3. Step 3: Cross multiply
    573,382x = 801,969 × 801,969
  4. Step 4: Simplify right side
    573,382x = 643,154,276,961
  5. Step 5: Solve for x
    x = 643,154,276,961/573,382
  6. Step 6: Final answer
    x = 1,121,685.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.