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Finding the Third Proportional to 376,681 and 813,113

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Solution

The third proportional to 376,681 and 813,113 is: 1,755,206.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,681 : 813,113 = 813,113 : x
  2. Step 2: Convert to fraction form
    376,681/813,113 = 813,113/x
  3. Step 3: Cross multiply
    376,681x = 813,113 × 813,113
  4. Step 4: Simplify right side
    376,681x = 661,152,750,769
  5. Step 5: Solve for x
    x = 661,152,750,769/376,681
  6. Step 6: Final answer
    x = 1,755,206.00

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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.