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Finding the Third Proportional to 516,480 and 758,964

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Solution

The third proportional to 516,480 and 758,964 is: 1,115,292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,480 : 758,964 = 758,964 : x
  2. Step 2: Convert to fraction form
    516,480/758,964 = 758,964/x
  3. Step 3: Cross multiply
    516,480x = 758,964 × 758,964
  4. Step 4: Simplify right side
    516,480x = 576,026,353,296
  5. Step 5: Solve for x
    x = 576,026,353,296/516,480
  6. Step 6: Final answer
    x = 1,115,292.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.