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Finding the Third Proportional to 632,337 and 924,840

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Solution

The third proportional to 632,337 and 924,840 is: 1,352,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,337 : 924,840 = 924,840 : x
  2. Step 2: Convert to fraction form
    632,337/924,840 = 924,840/x
  3. Step 3: Cross multiply
    632,337x = 924,840 × 924,840
  4. Step 4: Simplify right side
    632,337x = 855,329,025,600
  5. Step 5: Solve for x
    x = 855,329,025,600/632,337
  6. Step 6: Final answer
    x = 1,352,647.44

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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.