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Finding the Third Proportional to 475,692.75 and 652,303.13

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Solution

The third proportional to 475,692.75 and 652,303.13 is: 894,483.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,692.75 : 652,303.13 = 652,303.13 : x
  2. Step 2: Convert to fraction form
    475,692.75/652,303.13 = 652,303.13/x
  3. Step 3: Cross multiply
    475,692.75x = 652,303.13 × 652,303.13
  4. Step 4: Simplify right side
    475,692.75x = 425,499,366,884.77
  5. Step 5: Solve for x
    x = 425,499,366,884.77/475,692.75
  6. Step 6: Final answer
    x = 894,483.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.