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Finding the Third Proportional to 367,098 and 537,363

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Solution

The third proportional to 367,098 and 537,363 is: 786,599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,098 : 537,363 = 537,363 : x
  2. Step 2: Convert to fraction form
    367,098/537,363 = 537,363/x
  3. Step 3: Cross multiply
    367,098x = 537,363 × 537,363
  4. Step 4: Simplify right side
    367,098x = 288,758,993,769
  5. Step 5: Solve for x
    x = 288,758,993,769/367,098
  6. Step 6: Final answer
    x = 786,599.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.