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Finding the Third Proportional to 356,826.52 and 546,543.07

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Solution

The third proportional to 356,826.52 and 546,543.07 is: 837,127.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,826.52 : 546,543.07 = 546,543.07 : x
  2. Step 2: Convert to fraction form
    356,826.52/546,543.07 = 546,543.07/x
  3. Step 3: Cross multiply
    356,826.52x = 546,543.07 × 546,543.07
  4. Step 4: Simplify right side
    356,826.52x = 298,709,327,706.61
  5. Step 5: Solve for x
    x = 298,709,327,706.61/356,826.52
  6. Step 6: Final answer
    x = 837,127.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.