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Finding the Third Proportional to 257,590.13 and 571,428

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Solution

The third proportional to 257,590.13 and 571,428 is: 1,267,633.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,590.13 : 571,428 = 571,428 : x
  2. Step 2: Convert to fraction form
    257,590.13/571,428 = 571,428/x
  3. Step 3: Cross multiply
    257,590.13x = 571,428 × 571,428
  4. Step 4: Simplify right side
    257,590.13x = 326,529,959,184
  5. Step 5: Solve for x
    x = 326,529,959,184/257,590.13
  6. Step 6: Final answer
    x = 1,267,633.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.