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Finding the Third Proportional to 710,230.50 and 956,904.75

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Solution

The third proportional to 710,230.50 and 956,904.75 is: 1,289,252.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,230.50 : 956,904.75 = 956,904.75 : x
  2. Step 2: Convert to fraction form
    710,230.50/956,904.75 = 956,904.75/x
  3. Step 3: Cross multiply
    710,230.50x = 956,904.75 × 956,904.75
  4. Step 4: Simplify right side
    710,230.50x = 915,666,700,572.56
  5. Step 5: Solve for x
    x = 915,666,700,572.56/710,230.50
  6. Step 6: Final answer
    x = 1,289,252.86

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.