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Finding the Third Proportional to 359,068 and 546,065

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Solution

The third proportional to 359,068 and 546,065 is: 830,447.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,068 : 546,065 = 546,065 : x
  2. Step 2: Convert to fraction form
    359,068/546,065 = 546,065/x
  3. Step 3: Cross multiply
    359,068x = 546,065 × 546,065
  4. Step 4: Simplify right side
    359,068x = 298,186,984,225
  5. Step 5: Solve for x
    x = 298,186,984,225/359,068
  6. Step 6: Final answer
    x = 830,447.11

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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.