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Finding the Third Proportional to 359,730 and 544,971

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Solution

The third proportional to 359,730 and 544,971 is: 825,600.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,730 : 544,971 = 544,971 : x
  2. Step 2: Convert to fraction form
    359,730/544,971 = 544,971/x
  3. Step 3: Cross multiply
    359,730x = 544,971 × 544,971
  4. Step 4: Simplify right side
    359,730x = 296,993,390,841
  5. Step 5: Solve for x
    x = 296,993,390,841/359,730
  6. Step 6: Final answer
    x = 825,600.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.