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Finding the Third Proportional to 359,550 and 786,348

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Solution

The third proportional to 359,550 and 786,348 is: 1,719,769.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,550 : 786,348 = 786,348 : x
  2. Step 2: Convert to fraction form
    359,550/786,348 = 786,348/x
  3. Step 3: Cross multiply
    359,550x = 786,348 × 786,348
  4. Step 4: Simplify right side
    359,550x = 618,343,177,104
  5. Step 5: Solve for x
    x = 618,343,177,104/359,550
  6. Step 6: Final answer
    x = 1,719,769.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.