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Finding the Third Proportional to 657,841.50 and 963,434.25

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Solution

The third proportional to 657,841.50 and 963,434.25 is: 1,410,986.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,841.50 : 963,434.25 = 963,434.25 : x
  2. Step 2: Convert to fraction form
    657,841.50/963,434.25 = 963,434.25/x
  3. Step 3: Cross multiply
    657,841.50x = 963,434.25 × 963,434.25
  4. Step 4: Simplify right side
    657,841.50x = 928,205,554,073.06
  5. Step 5: Solve for x
    x = 928,205,554,073.06/657,841.50
  6. Step 6: Final answer
    x = 1,410,986.62

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Why These Related Problems?

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