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Finding the Third Proportional to 560,115 and 850,528.50

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Solution

The third proportional to 560,115 and 850,528.50 is: 1,291,518.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,115 : 850,528.50 = 850,528.50 : x
  2. Step 2: Convert to fraction form
    560,115/850,528.50 = 850,528.50/x
  3. Step 3: Cross multiply
    560,115x = 850,528.50 × 850,528.50
  4. Step 4: Simplify right side
    560,115x = 723,398,729,312.25
  5. Step 5: Solve for x
    x = 723,398,729,312.25/560,115
  6. Step 6: Final answer
    x = 1,291,518.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.