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Finding the Third Proportional to 359,730 and 777,096

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Solution

The third proportional to 359,730 and 777,096 is: 1,678,698.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,730 : 777,096 = 777,096 : x
  2. Step 2: Convert to fraction form
    359,730/777,096 = 777,096/x
  3. Step 3: Cross multiply
    359,730x = 777,096 × 777,096
  4. Step 4: Simplify right side
    359,730x = 603,878,193,216
  5. Step 5: Solve for x
    x = 603,878,193,216/359,730
  6. Step 6: Final answer
    x = 1,678,698.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.