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Finding the Third Proportional to 341,785.50 and 747,933

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Solution

The third proportional to 341,785.50 and 747,933 is: 1,636,710.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,785.50 : 747,933 = 747,933 : x
  2. Step 2: Convert to fraction form
    341,785.50/747,933 = 747,933/x
  3. Step 3: Cross multiply
    341,785.50x = 747,933 × 747,933
  4. Step 4: Simplify right side
    341,785.50x = 559,403,772,489
  5. Step 5: Solve for x
    x = 559,403,772,489/341,785.50
  6. Step 6: Final answer
    x = 1,636,710.08

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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.