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Finding the Third Proportional to 295,749 and 418,482

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Solution

The third proportional to 295,749 and 418,482 is: 592,148.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,749 : 418,482 = 418,482 : x
  2. Step 2: Convert to fraction form
    295,749/418,482 = 418,482/x
  3. Step 3: Cross multiply
    295,749x = 418,482 × 418,482
  4. Step 4: Simplify right side
    295,749x = 175,127,184,324
  5. Step 5: Solve for x
    x = 175,127,184,324/295,749
  6. Step 6: Final answer
    x = 592,148.02

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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.