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Finding the Third Proportional to 284,080 and 607,560

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Solution

The third proportional to 284,080 and 607,560 is: 1,299,384.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,080 : 607,560 = 607,560 : x
  2. Step 2: Convert to fraction form
    284,080/607,560 = 607,560/x
  3. Step 3: Cross multiply
    284,080x = 607,560 × 607,560
  4. Step 4: Simplify right side
    284,080x = 369,129,153,600
  5. Step 5: Solve for x
    x = 369,129,153,600/284,080
  6. Step 6: Final answer
    x = 1,299,384.52

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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.