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Finding the Third Proportional to 375,558 and 777,360

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Solution

The third proportional to 375,558 and 777,360 is: 1,609,041.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,558 : 777,360 = 777,360 : x
  2. Step 2: Convert to fraction form
    375,558/777,360 = 777,360/x
  3. Step 3: Cross multiply
    375,558x = 777,360 × 777,360
  4. Step 4: Simplify right side
    375,558x = 604,288,569,600
  5. Step 5: Solve for x
    x = 604,288,569,600/375,558
  6. Step 6: Final answer
    x = 1,609,041.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.