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Finding the Third Proportional to 500,670 and 776,295

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Solution

The third proportional to 500,670 and 776,295 is: 1,203,654.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,670 : 776,295 = 776,295 : x
  2. Step 2: Convert to fraction form
    500,670/776,295 = 776,295/x
  3. Step 3: Cross multiply
    500,670x = 776,295 × 776,295
  4. Step 4: Simplify right side
    500,670x = 602,633,927,025
  5. Step 5: Solve for x
    x = 602,633,927,025/500,670
  6. Step 6: Final answer
    x = 1,203,654.96

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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.