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Finding the Third Proportional to 319,626 and 710,191.13

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Solution

The third proportional to 319,626 and 710,191.13 is: 1,578,005.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,626 : 710,191.13 = 710,191.13 : x
  2. Step 2: Convert to fraction form
    319,626/710,191.13 = 710,191.13/x
  3. Step 3: Cross multiply
    319,626x = 710,191.13 × 710,191.13
  4. Step 4: Simplify right side
    319,626x = 504,371,434,028.77
  5. Step 5: Solve for x
    x = 504,371,434,028.77/319,626
  6. Step 6: Final answer
    x = 1,578,005.02

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.