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Finding the Third Proportional to 500,769 and 775,985.50

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Solution

The third proportional to 500,769 and 775,985.50 is: 1,202,457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,769 : 775,985.50 = 775,985.50 : x
  2. Step 2: Convert to fraction form
    500,769/775,985.50 = 775,985.50/x
  3. Step 3: Cross multiply
    500,769x = 775,985.50 × 775,985.50
  4. Step 4: Simplify right side
    500,769x = 602,153,496,210.25
  5. Step 5: Solve for x
    x = 602,153,496,210.25/500,769
  6. Step 6: Final answer
    x = 1,202,457.61

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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.