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Finding the Third Proportional to 284,045.06 and 607,455.84

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Solution

The third proportional to 284,045.06 and 607,455.84 is: 1,299,098.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,045.06 : 607,455.84 = 607,455.84 : x
  2. Step 2: Convert to fraction form
    284,045.06/607,455.84 = 607,455.84/x
  3. Step 3: Cross multiply
    284,045.06x = 607,455.84 × 607,455.84
  4. Step 4: Simplify right side
    284,045.06x = 369,002,602,106.02
  5. Step 5: Solve for x
    x = 369,002,602,106.02/284,045.06
  6. Step 6: Final answer
    x = 1,299,098.81

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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.