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Finding the Third Proportional to 668,145.59 and 1,034,280.14

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Solution

The third proportional to 668,145.59 and 1,034,280.14 is: 1,601,051.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,145.59 : 1,034,280.14 = 1,034,280.14 : x
  2. Step 2: Convert to fraction form
    668,145.59/1,034,280.14 = 1,034,280.14/x
  3. Step 3: Cross multiply
    668,145.59x = 1,034,280.14 × 1,034,280.14
  4. Step 4: Simplify right side
    668,145.59x = 1,069,735,409,291.27
  5. Step 5: Solve for x
    x = 1,069,735,409,291.27/668,145.59
  6. Step 6: Final answer
    x = 1,601,051.38

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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.