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Finding the Third Proportional to 697,402.41 and 938,382.47

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Solution

The third proportional to 697,402.41 and 938,382.47 is: 1,262,630.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,402.41 : 938,382.47 = 938,382.47 : x
  2. Step 2: Convert to fraction form
    697,402.41/938,382.47 = 938,382.47/x
  3. Step 3: Cross multiply
    697,402.41x = 938,382.47 × 938,382.47
  4. Step 4: Simplify right side
    697,402.41x = 880,561,657,657.35
  5. Step 5: Solve for x
    x = 880,561,657,657.35/697,402.41
  6. Step 6: Final answer
    x = 1,262,630.66

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.