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Finding the Third Proportional to 484,785 and 652,136.06

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Solution

The third proportional to 484,785 and 652,136.06 is: 877,257.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,785 : 652,136.06 = 652,136.06 : x
  2. Step 2: Convert to fraction form
    484,785/652,136.06 = 652,136.06/x
  3. Step 3: Cross multiply
    484,785x = 652,136.06 × 652,136.06
  4. Step 4: Simplify right side
    484,785x = 425,281,444,013.00
  5. Step 5: Solve for x
    x = 425,281,444,013.00/484,785
  6. Step 6: Final answer
    x = 877,257.84

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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.