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Finding the Third Proportional to 370,746 and 813,681

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Solution

The third proportional to 370,746 and 813,681 is: 1,785,796.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,746 : 813,681 = 813,681 : x
  2. Step 2: Convert to fraction form
    370,746/813,681 = 813,681/x
  3. Step 3: Cross multiply
    370,746x = 813,681 × 813,681
  4. Step 4: Simplify right side
    370,746x = 662,076,769,761
  5. Step 5: Solve for x
    x = 662,076,769,761/370,746
  6. Step 6: Final answer
    x = 1,785,796.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.