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Finding the Third Proportional to 584,795 and 930,423

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Solution

The third proportional to 584,795 and 930,423 is: 1,480,325.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,795 : 930,423 = 930,423 : x
  2. Step 2: Convert to fraction form
    584,795/930,423 = 930,423/x
  3. Step 3: Cross multiply
    584,795x = 930,423 × 930,423
  4. Step 4: Simplify right side
    584,795x = 865,686,958,929
  5. Step 5: Solve for x
    x = 865,686,958,929/584,795
  6. Step 6: Final answer
    x = 1,480,325.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.