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Finding the Third Proportional to 564,358 and 1,205,255

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Solution

The third proportional to 564,358 and 1,205,255 is: 2,573,968.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,358 : 1,205,255 = 1,205,255 : x
  2. Step 2: Convert to fraction form
    564,358/1,205,255 = 1,205,255/x
  3. Step 3: Cross multiply
    564,358x = 1,205,255 × 1,205,255
  4. Step 4: Simplify right side
    564,358x = 1,452,639,615,025
  5. Step 5: Solve for x
    x = 1,452,639,615,025/564,358
  6. Step 6: Final answer
    x = 2,573,968.32

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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.