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Finding the Third Proportional to 342,643.50 and 502,267.50

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Solution

The third proportional to 342,643.50 and 502,267.50 is: 736,253.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,643.50 : 502,267.50 = 502,267.50 : x
  2. Step 2: Convert to fraction form
    342,643.50/502,267.50 = 502,267.50/x
  3. Step 3: Cross multiply
    342,643.50x = 502,267.50 × 502,267.50
  4. Step 4: Simplify right side
    342,643.50x = 252,272,641,556.25
  5. Step 5: Solve for x
    x = 252,272,641,556.25/342,643.50
  6. Step 6: Final answer
    x = 736,253.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.