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Finding the Third Proportional to 712,701 and 1,484,167.50

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Solution

The third proportional to 712,701 and 1,484,167.50 is: 3,090,711.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,701 : 1,484,167.50 = 1,484,167.50 : x
  2. Step 2: Convert to fraction form
    712,701/1,484,167.50 = 1,484,167.50/x
  3. Step 3: Cross multiply
    712,701x = 1,484,167.50 × 1,484,167.50
  4. Step 4: Simplify right side
    712,701x = 2,202,753,168,056.25
  5. Step 5: Solve for x
    x = 2,202,753,168,056.25/712,701
  6. Step 6: Final answer
    x = 3,090,711.49

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.