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Finding the Third Proportional to 346,514 and 518,358

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Solution

The third proportional to 346,514 and 518,358 is: 775,423.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,514 : 518,358 = 518,358 : x
  2. Step 2: Convert to fraction form
    346,514/518,358 = 518,358/x
  3. Step 3: Cross multiply
    346,514x = 518,358 × 518,358
  4. Step 4: Simplify right side
    346,514x = 268,695,016,164
  5. Step 5: Solve for x
    x = 268,695,016,164/346,514
  6. Step 6: Final answer
    x = 775,423.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.