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Finding the Third Proportional to 272,948 and 592,514

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Solution

The third proportional to 272,948 and 592,514 is: 1,286,226.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,948 : 592,514 = 592,514 : x
  2. Step 2: Convert to fraction form
    272,948/592,514 = 592,514/x
  3. Step 3: Cross multiply
    272,948x = 592,514 × 592,514
  4. Step 4: Simplify right side
    272,948x = 351,072,840,196
  5. Step 5: Solve for x
    x = 351,072,840,196/272,948
  6. Step 6: Final answer
    x = 1,286,226.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.