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Finding the Third Proportional to 595,779 and 899,231

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Solution

The third proportional to 595,779 and 899,231 is: 1,357,242.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,779 : 899,231 = 899,231 : x
  2. Step 2: Convert to fraction form
    595,779/899,231 = 899,231/x
  3. Step 3: Cross multiply
    595,779x = 899,231 × 899,231
  4. Step 4: Simplify right side
    595,779x = 808,616,391,361
  5. Step 5: Solve for x
    x = 808,616,391,361/595,779
  6. Step 6: Final answer
    x = 1,357,242.18

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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.