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Finding the Third Proportional to 580,938 and 960,044

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Solution

The third proportional to 580,938 and 960,044 is: 1,586,545.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,938 : 960,044 = 960,044 : x
  2. Step 2: Convert to fraction form
    580,938/960,044 = 960,044/x
  3. Step 3: Cross multiply
    580,938x = 960,044 × 960,044
  4. Step 4: Simplify right side
    580,938x = 921,684,481,936
  5. Step 5: Solve for x
    x = 921,684,481,936/580,938
  6. Step 6: Final answer
    x = 1,586,545.35

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.