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Finding the Third Proportional to 346,840.88 and 756,708.19

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Solution

The third proportional to 346,840.88 and 756,708.19 is: 1,650,922.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,840.88 : 756,708.19 = 756,708.19 : x
  2. Step 2: Convert to fraction form
    346,840.88/756,708.19 = 756,708.19/x
  3. Step 3: Cross multiply
    346,840.88x = 756,708.19 × 756,708.19
  4. Step 4: Simplify right side
    346,840.88x = 572,607,281,029.54
  5. Step 5: Solve for x
    x = 572,607,281,029.54/346,840.88
  6. Step 6: Final answer
    x = 1,650,922.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.