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Finding the Third Proportional to 464,513.44 and 688,136.06

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Solution

The third proportional to 464,513.44 and 688,136.06 is: 1,019,413.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,513.44 : 688,136.06 = 688,136.06 : x
  2. Step 2: Convert to fraction form
    464,513.44/688,136.06 = 688,136.06/x
  3. Step 3: Cross multiply
    464,513.44x = 688,136.06 × 688,136.06
  4. Step 4: Simplify right side
    464,513.44x = 473,531,240,513.00
  5. Step 5: Solve for x
    x = 473,531,240,513.00/464,513.44
  6. Step 6: Final answer
    x = 1,019,413.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.