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Finding the Third Proportional to 245,737 and 537,644

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Solution

The third proportional to 245,737 and 537,644 is: 1,176,302.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,737 : 537,644 = 537,644 : x
  2. Step 2: Convert to fraction form
    245,737/537,644 = 537,644/x
  3. Step 3: Cross multiply
    245,737x = 537,644 × 537,644
  4. Step 4: Simplify right side
    245,737x = 289,061,070,736
  5. Step 5: Solve for x
    x = 289,061,070,736/245,737
  6. Step 6: Final answer
    x = 1,176,302.59

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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.