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Finding the Third Proportional to 245,681 and 532,834

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Solution

The third proportional to 245,681 and 532,834 is: 1,155,612.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,681 : 532,834 = 532,834 : x
  2. Step 2: Convert to fraction form
    245,681/532,834 = 532,834/x
  3. Step 3: Cross multiply
    245,681x = 532,834 × 532,834
  4. Step 4: Simplify right side
    245,681x = 283,912,071,556
  5. Step 5: Solve for x
    x = 283,912,071,556/245,681
  6. Step 6: Final answer
    x = 1,155,612.65

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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.