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Finding the Third Proportional to 560,069 and 880,926

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Solution

The third proportional to 560,069 and 880,926 is: 1,385,598.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,069 : 880,926 = 880,926 : x
  2. Step 2: Convert to fraction form
    560,069/880,926 = 880,926/x
  3. Step 3: Cross multiply
    560,069x = 880,926 × 880,926
  4. Step 4: Simplify right side
    560,069x = 776,030,617,476
  5. Step 5: Solve for x
    x = 776,030,617,476/560,069
  6. Step 6: Final answer
    x = 1,385,598.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.