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Finding the Third Proportional to 309,403.13 and 478,675.13

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Solution

The third proportional to 309,403.13 and 478,675.13 is: 740,554.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,403.13 : 478,675.13 = 478,675.13 : x
  2. Step 2: Convert to fraction form
    309,403.13/478,675.13 = 478,675.13/x
  3. Step 3: Cross multiply
    309,403.13x = 478,675.13 × 478,675.13
  4. Step 4: Simplify right side
    309,403.13x = 229,129,875,293.77
  5. Step 5: Solve for x
    x = 229,129,875,293.77/309,403.13
  6. Step 6: Final answer
    x = 740,554.50

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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.