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Finding the Third Proportional to 341,623.90 and 747,602.30

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Solution

The third proportional to 341,623.90 and 747,602.30 is: 1,636,036.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,623.90 : 747,602.30 = 747,602.30 : x
  2. Step 2: Convert to fraction form
    341,623.90/747,602.30 = 747,602.30/x
  3. Step 3: Cross multiply
    341,623.90x = 747,602.30 × 747,602.30
  4. Step 4: Simplify right side
    341,623.90x = 558,909,194,292.78
  5. Step 5: Solve for x
    x = 558,909,194,292.78/341,623.90
  6. Step 6: Final answer
    x = 1,636,036.58

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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.