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Finding the Third Proportional to 560,531 and 805,804

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Solution

The third proportional to 560,531 and 805,804 is: 1,158,401.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,531 : 805,804 = 805,804 : x
  2. Step 2: Convert to fraction form
    560,531/805,804 = 805,804/x
  3. Step 3: Cross multiply
    560,531x = 805,804 × 805,804
  4. Step 4: Simplify right side
    560,531x = 649,320,086,416
  5. Step 5: Solve for x
    x = 649,320,086,416/560,531
  6. Step 6: Final answer
    x = 1,158,401.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.