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Finding the Third Proportional to 323,612 and 704,038.50

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Solution

The third proportional to 323,612 and 704,038.50 is: 1,531,680.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,612 : 704,038.50 = 704,038.50 : x
  2. Step 2: Convert to fraction form
    323,612/704,038.50 = 704,038.50/x
  3. Step 3: Cross multiply
    323,612x = 704,038.50 × 704,038.50
  4. Step 4: Simplify right side
    323,612x = 495,670,209,482.25
  5. Step 5: Solve for x
    x = 495,670,209,482.25/323,612
  6. Step 6: Final answer
    x = 1,531,680.56

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