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Finding the Third Proportional to 537,776 and 753,688

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Solution

The third proportional to 537,776 and 753,688 is: 1,056,286.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,776 : 753,688 = 753,688 : x
  2. Step 2: Convert to fraction form
    537,776/753,688 = 753,688/x
  3. Step 3: Cross multiply
    537,776x = 753,688 × 753,688
  4. Step 4: Simplify right side
    537,776x = 568,045,601,344
  5. Step 5: Solve for x
    x = 568,045,601,344/537,776
  6. Step 6: Final answer
    x = 1,056,286.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.