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Finding the Third Proportional to 309,934.13 and 478,927.13

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Solution

The third proportional to 309,934.13 and 478,927.13 is: 740,064.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,934.13 : 478,927.13 = 478,927.13 : x
  2. Step 2: Convert to fraction form
    309,934.13/478,927.13 = 478,927.13/x
  3. Step 3: Cross multiply
    309,934.13x = 478,927.13 × 478,927.13
  4. Step 4: Simplify right side
    309,934.13x = 229,371,191,060.77
  5. Step 5: Solve for x
    x = 229,371,191,060.77/309,934.13
  6. Step 6: Final answer
    x = 740,064.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.