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Finding the Third Proportional to 403,752 and 619,767

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Solution

The third proportional to 403,752 and 619,767 is: 951,354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,752 : 619,767 = 619,767 : x
  2. Step 2: Convert to fraction form
    403,752/619,767 = 619,767/x
  3. Step 3: Cross multiply
    403,752x = 619,767 × 619,767
  4. Step 4: Simplify right side
    403,752x = 384,111,134,289
  5. Step 5: Solve for x
    x = 384,111,134,289/403,752
  6. Step 6: Final answer
    x = 951,354.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.