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Finding the Third Proportional to 711,565 and 1,100,598.50

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Solution

The third proportional to 711,565 and 1,100,598.50 is: 1,702,328.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,565 : 1,100,598.50 = 1,100,598.50 : x
  2. Step 2: Convert to fraction form
    711,565/1,100,598.50 = 1,100,598.50/x
  3. Step 3: Cross multiply
    711,565x = 1,100,598.50 × 1,100,598.50
  4. Step 4: Simplify right side
    711,565x = 1,211,317,058,202.25
  5. Step 5: Solve for x
    x = 1,211,317,058,202.25/711,565
  6. Step 6: Final answer
    x = 1,702,328.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.