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Finding the Third Proportional to 347,785.13 and 732,931.50

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Solution

The third proportional to 347,785.13 and 732,931.50 is: 1,544,599.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,785.13 : 732,931.50 = 732,931.50 : x
  2. Step 2: Convert to fraction form
    347,785.13/732,931.50 = 732,931.50/x
  3. Step 3: Cross multiply
    347,785.13x = 732,931.50 × 732,931.50
  4. Step 4: Simplify right side
    347,785.13x = 537,188,583,692.25
  5. Step 5: Solve for x
    x = 537,188,583,692.25/347,785.13
  6. Step 6: Final answer
    x = 1,544,599.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.