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Finding the Third Proportional to 500,567 and 774,854

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Solution

The third proportional to 500,567 and 774,854 is: 1,199,437.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,567 : 774,854 = 774,854 : x
  2. Step 2: Convert to fraction form
    500,567/774,854 = 774,854/x
  3. Step 3: Cross multiply
    500,567x = 774,854 × 774,854
  4. Step 4: Simplify right side
    500,567x = 600,398,721,316
  5. Step 5: Solve for x
    x = 600,398,721,316/500,567
  6. Step 6: Final answer
    x = 1,199,437.28

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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.