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Finding the Third Proportional to 657,193.50 and 959,931

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Solution

The third proportional to 657,193.50 and 959,931 is: 1,402,125.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,193.50 : 959,931 = 959,931 : x
  2. Step 2: Convert to fraction form
    657,193.50/959,931 = 959,931/x
  3. Step 3: Cross multiply
    657,193.50x = 959,931 × 959,931
  4. Step 4: Simplify right side
    657,193.50x = 921,467,524,761
  5. Step 5: Solve for x
    x = 921,467,524,761/657,193.50
  6. Step 6: Final answer
    x = 1,402,125.13

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.