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Finding the Third Proportional to 537,246 and 730,068

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Solution

The third proportional to 537,246 and 730,068 is: 992,095.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,246 : 730,068 = 730,068 : x
  2. Step 2: Convert to fraction form
    537,246/730,068 = 730,068/x
  3. Step 3: Cross multiply
    537,246x = 730,068 × 730,068
  4. Step 4: Simplify right side
    537,246x = 532,999,284,624
  5. Step 5: Solve for x
    x = 532,999,284,624/537,246
  6. Step 6: Final answer
    x = 992,095.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.