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Finding the Third Proportional to 652,219 and 975,329

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Solution

The third proportional to 652,219 and 975,329 is: 1,458,508.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,219 : 975,329 = 975,329 : x
  2. Step 2: Convert to fraction form
    652,219/975,329 = 975,329/x
  3. Step 3: Cross multiply
    652,219x = 975,329 × 975,329
  4. Step 4: Simplify right side
    652,219x = 951,266,658,241
  5. Step 5: Solve for x
    x = 951,266,658,241/652,219
  6. Step 6: Final answer
    x = 1,458,508.04

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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.