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Finding the Third Proportional to 344,480 and 506,514

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Solution

The third proportional to 344,480 and 506,514 is: 744,764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,480 : 506,514 = 506,514 : x
  2. Step 2: Convert to fraction form
    344,480/506,514 = 506,514/x
  3. Step 3: Cross multiply
    344,480x = 506,514 × 506,514
  4. Step 4: Simplify right side
    344,480x = 256,556,432,196
  5. Step 5: Solve for x
    x = 256,556,432,196/344,480
  6. Step 6: Final answer
    x = 744,764.38

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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.