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Finding the Third Proportional to 346,151.25 and 747,661.50

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Solution

The third proportional to 346,151.25 and 747,661.50 is: 1,614,894.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,151.25 : 747,661.50 = 747,661.50 : x
  2. Step 2: Convert to fraction form
    346,151.25/747,661.50 = 747,661.50/x
  3. Step 3: Cross multiply
    346,151.25x = 747,661.50 × 747,661.50
  4. Step 4: Simplify right side
    346,151.25x = 558,997,718,582.25
  5. Step 5: Solve for x
    x = 558,997,718,582.25/346,151.25
  6. Step 6: Final answer
    x = 1,614,894.41

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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.