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Finding the Third Proportional to 403,484 and 565,470

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Solution

The third proportional to 403,484 and 565,470 is: 792,488.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,484 : 565,470 = 565,470 : x
  2. Step 2: Convert to fraction form
    403,484/565,470 = 565,470/x
  3. Step 3: Cross multiply
    403,484x = 565,470 × 565,470
  4. Step 4: Simplify right side
    403,484x = 319,756,320,900
  5. Step 5: Solve for x
    x = 319,756,320,900/403,484
  6. Step 6: Final answer
    x = 792,488.23

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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.