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Finding the Third Proportional to 668,056 and 1,034,866.50

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Solution

The third proportional to 668,056 and 1,034,866.50 is: 1,603,082.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,056 : 1,034,866.50 = 1,034,866.50 : x
  2. Step 2: Convert to fraction form
    668,056/1,034,866.50 = 1,034,866.50/x
  3. Step 3: Cross multiply
    668,056x = 1,034,866.50 × 1,034,866.50
  4. Step 4: Simplify right side
    668,056x = 1,070,948,672,822.25
  5. Step 5: Solve for x
    x = 1,070,948,672,822.25/668,056
  6. Step 6: Final answer
    x = 1,603,082.19

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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.