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Finding the Third Proportional to 347,503.50 and 554,977.50

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Solution

The third proportional to 347,503.50 and 554,977.50 is: 886,322.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,503.50 : 554,977.50 = 554,977.50 : x
  2. Step 2: Convert to fraction form
    347,503.50/554,977.50 = 554,977.50/x
  3. Step 3: Cross multiply
    347,503.50x = 554,977.50 × 554,977.50
  4. Step 4: Simplify right side
    347,503.50x = 308,000,025,506.25
  5. Step 5: Solve for x
    x = 308,000,025,506.25/347,503.50
  6. Step 6: Final answer
    x = 886,322.08

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.