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Finding the Third Proportional to 365,347.13 and 546,535.69

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Solution

The third proportional to 365,347.13 and 546,535.69 is: 817,582.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,347.13 : 546,535.69 = 546,535.69 : x
  2. Step 2: Convert to fraction form
    365,347.13/546,535.69 = 546,535.69/x
  3. Step 3: Cross multiply
    365,347.13x = 546,535.69 × 546,535.69
  4. Step 4: Simplify right side
    365,347.13x = 298,701,257,711.10
  5. Step 5: Solve for x
    x = 298,701,257,711.10/365,347.13
  6. Step 6: Final answer
    x = 817,582.07

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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.