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Finding the Third Proportional to 732,303 and 977,427

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Solution

The third proportional to 732,303 and 977,427 is: 1,304,601.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,303 : 977,427 = 977,427 : x
  2. Step 2: Convert to fraction form
    732,303/977,427 = 977,427/x
  3. Step 3: Cross multiply
    732,303x = 977,427 × 977,427
  4. Step 4: Simplify right side
    732,303x = 955,363,540,329
  5. Step 5: Solve for x
    x = 955,363,540,329/732,303
  6. Step 6: Final answer
    x = 1,304,601.43

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.