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Finding the Third Proportional to 532,830 and 750,423

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Solution

The third proportional to 532,830 and 750,423 is: 1,056,874.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,830 : 750,423 = 750,423 : x
  2. Step 2: Convert to fraction form
    532,830/750,423 = 750,423/x
  3. Step 3: Cross multiply
    532,830x = 750,423 × 750,423
  4. Step 4: Simplify right side
    532,830x = 563,134,678,929
  5. Step 5: Solve for x
    x = 563,134,678,929/532,830
  6. Step 6: Final answer
    x = 1,056,874.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.