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Finding the Third Proportional to 500,484 and 755,046

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Solution

The third proportional to 500,484 and 755,046 is: 1,139,086.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,484 : 755,046 = 755,046 : x
  2. Step 2: Convert to fraction form
    500,484/755,046 = 755,046/x
  3. Step 3: Cross multiply
    500,484x = 755,046 × 755,046
  4. Step 4: Simplify right side
    500,484x = 570,094,462,116
  5. Step 5: Solve for x
    x = 570,094,462,116/500,484
  6. Step 6: Final answer
    x = 1,139,086.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.