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Finding the Third Proportional to 346,030.50 and 743,793

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Solution

The third proportional to 346,030.50 and 743,793 is: 1,598,784.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,030.50 : 743,793 = 743,793 : x
  2. Step 2: Convert to fraction form
    346,030.50/743,793 = 743,793/x
  3. Step 3: Cross multiply
    346,030.50x = 743,793 × 743,793
  4. Step 4: Simplify right side
    346,030.50x = 553,228,026,849
  5. Step 5: Solve for x
    x = 553,228,026,849/346,030.50
  6. Step 6: Final answer
    x = 1,598,784.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.