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Finding the Third Proportional to 245,664 and 532,800

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Solution

The third proportional to 245,664 and 532,800 is: 1,155,545.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,664 : 532,800 = 532,800 : x
  2. Step 2: Convert to fraction form
    245,664/532,800 = 532,800/x
  3. Step 3: Cross multiply
    245,664x = 532,800 × 532,800
  4. Step 4: Simplify right side
    245,664x = 283,875,840,000
  5. Step 5: Solve for x
    x = 283,875,840,000/245,664
  6. Step 6: Final answer
    x = 1,155,545.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.