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Finding the Third Proportional to 245,446 and 537,737

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Solution

The third proportional to 245,446 and 537,737 is: 1,178,104.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,446 : 537,737 = 537,737 : x
  2. Step 2: Convert to fraction form
    245,446/537,737 = 537,737/x
  3. Step 3: Cross multiply
    245,446x = 537,737 × 537,737
  4. Step 4: Simplify right side
    245,446x = 289,161,081,169
  5. Step 5: Solve for x
    x = 289,161,081,169/245,446
  6. Step 6: Final answer
    x = 1,178,104.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.