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Finding the Third Proportional to 283,937.34 and 607,271.06

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Solution

The third proportional to 283,937.34 and 607,271.06 is: 1,298,801.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,937.34 : 607,271.06 = 607,271.06 : x
  2. Step 2: Convert to fraction form
    283,937.34/607,271.06 = 607,271.06/x
  3. Step 3: Cross multiply
    283,937.34x = 607,271.06 × 607,271.06
  4. Step 4: Simplify right side
    283,937.34x = 368,778,143,349.88
  5. Step 5: Solve for x
    x = 368,778,143,349.88/283,937.34
  6. Step 6: Final answer
    x = 1,298,801.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.