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Finding the Third Proportional to 295,710.75 and 418,423.50

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Solution

The third proportional to 295,710.75 and 418,423.50 is: 592,059.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,710.75 : 418,423.50 = 418,423.50 : x
  2. Step 2: Convert to fraction form
    295,710.75/418,423.50 = 418,423.50/x
  3. Step 3: Cross multiply
    295,710.75x = 418,423.50 × 418,423.50
  4. Step 4: Simplify right side
    295,710.75x = 175,078,225,352.25
  5. Step 5: Solve for x
    x = 175,078,225,352.25/295,710.75
  6. Step 6: Final answer
    x = 592,059.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.