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Finding the Third Proportional to 257,445 and 567,246

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Solution

The third proportional to 257,445 and 567,246 is: 1,249,851.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,445 : 567,246 = 567,246 : x
  2. Step 2: Convert to fraction form
    257,445/567,246 = 567,246/x
  3. Step 3: Cross multiply
    257,445x = 567,246 × 567,246
  4. Step 4: Simplify right side
    257,445x = 321,768,024,516
  5. Step 5: Solve for x
    x = 321,768,024,516/257,445
  6. Step 6: Final answer
    x = 1,249,851.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.