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Finding the Third Proportional to 366,714 and 583,484

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Solution

The third proportional to 366,714 and 583,484 is: 928,389.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,714 : 583,484 = 583,484 : x
  2. Step 2: Convert to fraction form
    366,714/583,484 = 583,484/x
  3. Step 3: Cross multiply
    366,714x = 583,484 × 583,484
  4. Step 4: Simplify right side
    366,714x = 340,453,578,256
  5. Step 5: Solve for x
    x = 340,453,578,256/366,714
  6. Step 6: Final answer
    x = 928,389.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.