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Finding the Third Proportional to 282,710.81 and 609,706.69

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Solution

The third proportional to 282,710.81 and 609,706.69 is: 1,314,920.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,710.81 : 609,706.69 = 609,706.69 : x
  2. Step 2: Convert to fraction form
    282,710.81/609,706.69 = 609,706.69/x
  3. Step 3: Cross multiply
    282,710.81x = 609,706.69 × 609,706.69
  4. Step 4: Simplify right side
    282,710.81x = 371,742,244,782.22
  5. Step 5: Solve for x
    x = 371,742,244,782.22/282,710.81
  6. Step 6: Final answer
    x = 1,314,920.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.