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Finding the Third Proportional to 402,253.50 and 596,421.75

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Solution

The third proportional to 402,253.50 and 596,421.75 is: 884,315.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,253.50 : 596,421.75 = 596,421.75 : x
  2. Step 2: Convert to fraction form
    402,253.50/596,421.75 = 596,421.75/x
  3. Step 3: Cross multiply
    402,253.50x = 596,421.75 × 596,421.75
  4. Step 4: Simplify right side
    402,253.50x = 355,718,903,873.06
  5. Step 5: Solve for x
    x = 355,718,903,873.06/402,253.50
  6. Step 6: Final answer
    x = 884,315.25

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.