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Finding the Third Proportional to 357,265 and 555,582

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Solution

The third proportional to 357,265 and 555,582 is: 863,984.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,265 : 555,582 = 555,582 : x
  2. Step 2: Convert to fraction form
    357,265/555,582 = 555,582/x
  3. Step 3: Cross multiply
    357,265x = 555,582 × 555,582
  4. Step 4: Simplify right side
    357,265x = 308,671,358,724
  5. Step 5: Solve for x
    x = 308,671,358,724/357,265
  6. Step 6: Final answer
    x = 863,984.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.