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Finding the Third Proportional to 454,987.75 and 713,681.75

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Solution

The third proportional to 454,987.75 and 713,681.75 is: 1,119,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,987.75 : 713,681.75 = 713,681.75 : x
  2. Step 2: Convert to fraction form
    454,987.75/713,681.75 = 713,681.75/x
  3. Step 3: Cross multiply
    454,987.75x = 713,681.75 × 713,681.75
  4. Step 4: Simplify right side
    454,987.75x = 509,341,640,283.06
  5. Step 5: Solve for x
    x = 509,341,640,283.06/454,987.75
  6. Step 6: Final answer
    x = 1,119,462.32

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.