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Finding the Third Proportional to 668,019 and 1,034,572.50

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Solution

The third proportional to 668,019 and 1,034,572.50 is: 1,602,260.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,019 : 1,034,572.50 = 1,034,572.50 : x
  2. Step 2: Convert to fraction form
    668,019/1,034,572.50 = 1,034,572.50/x
  3. Step 3: Cross multiply
    668,019x = 1,034,572.50 × 1,034,572.50
  4. Step 4: Simplify right side
    668,019x = 1,070,340,257,756.25
  5. Step 5: Solve for x
    x = 1,070,340,257,756.25/668,019
  6. Step 6: Final answer
    x = 1,602,260.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.