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Finding the Third Proportional to 541,566 and 841,953

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Solution

The third proportional to 541,566 and 841,953 is: 1,308,953.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,566 : 841,953 = 841,953 : x
  2. Step 2: Convert to fraction form
    541,566/841,953 = 841,953/x
  3. Step 3: Cross multiply
    541,566x = 841,953 × 841,953
  4. Step 4: Simplify right side
    541,566x = 708,884,854,209
  5. Step 5: Solve for x
    x = 708,884,854,209/541,566
  6. Step 6: Final answer
    x = 1,308,953.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.