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Finding the Third Proportional to 477,013.50 and 645,536.25

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Solution

The third proportional to 477,013.50 and 645,536.25 is: 873,595.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,013.50 : 645,536.25 = 645,536.25 : x
  2. Step 2: Convert to fraction form
    477,013.50/645,536.25 = 645,536.25/x
  3. Step 3: Cross multiply
    477,013.50x = 645,536.25 × 645,536.25
  4. Step 4: Simplify right side
    477,013.50x = 416,717,050,064.06
  5. Step 5: Solve for x
    x = 416,717,050,064.06/477,013.50
  6. Step 6: Final answer
    x = 873,595.93

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.