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Finding the Third Proportional to 359,074 and 546,074

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Solution

The third proportional to 359,074 and 546,074 is: 830,460.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,074 : 546,074 = 546,074 : x
  2. Step 2: Convert to fraction form
    359,074/546,074 = 546,074/x
  3. Step 3: Cross multiply
    359,074x = 546,074 × 546,074
  4. Step 4: Simplify right side
    359,074x = 298,196,813,476
  5. Step 5: Solve for x
    x = 298,196,813,476/359,074
  6. Step 6: Final answer
    x = 830,460.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.