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Finding the Third Proportional to 652,434 and 953,475

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Solution

The third proportional to 652,434 and 953,475 is: 1,393,419.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,434 : 953,475 = 953,475 : x
  2. Step 2: Convert to fraction form
    652,434/953,475 = 953,475/x
  3. Step 3: Cross multiply
    652,434x = 953,475 × 953,475
  4. Step 4: Simplify right side
    652,434x = 909,114,575,625
  5. Step 5: Solve for x
    x = 909,114,575,625/652,434
  6. Step 6: Final answer
    x = 1,393,419.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.