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Finding the Third Proportional to 803,237.50 and 1,070,863.50

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Solution

The third proportional to 803,237.50 and 1,070,863.50 is: 1,427,658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,237.50 : 1,070,863.50 = 1,070,863.50 : x
  2. Step 2: Convert to fraction form
    803,237.50/1,070,863.50 = 1,070,863.50/x
  3. Step 3: Cross multiply
    803,237.50x = 1,070,863.50 × 1,070,863.50
  4. Step 4: Simplify right side
    803,237.50x = 1,146,748,635,632.25
  5. Step 5: Solve for x
    x = 1,146,748,635,632.25/803,237.50
  6. Step 6: Final answer
    x = 1,427,658.24

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.