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Finding the Third Proportional to 461,730 and 693,931.50

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Solution

The third proportional to 461,730 and 693,931.50 is: 1,042,905.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,730 : 693,931.50 = 693,931.50 : x
  2. Step 2: Convert to fraction form
    461,730/693,931.50 = 693,931.50/x
  3. Step 3: Cross multiply
    461,730x = 693,931.50 × 693,931.50
  4. Step 4: Simplify right side
    461,730x = 481,540,926,692.25
  5. Step 5: Solve for x
    x = 481,540,926,692.25/461,730
  6. Step 6: Final answer
    x = 1,042,905.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.