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Finding the Third Proportional to 415,436 and 594,080

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Solution

The third proportional to 415,436 and 594,080 is: 849,543.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,436 : 594,080 = 594,080 : x
  2. Step 2: Convert to fraction form
    415,436/594,080 = 594,080/x
  3. Step 3: Cross multiply
    415,436x = 594,080 × 594,080
  4. Step 4: Simplify right side
    415,436x = 352,931,046,400
  5. Step 5: Solve for x
    x = 352,931,046,400/415,436
  6. Step 6: Final answer
    x = 849,543.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.