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Finding the Third Proportional to 357,156 and 552,726

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Solution

The third proportional to 357,156 and 552,726 is: 855,385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,156 : 552,726 = 552,726 : x
  2. Step 2: Convert to fraction form
    357,156/552,726 = 552,726/x
  3. Step 3: Cross multiply
    357,156x = 552,726 × 552,726
  4. Step 4: Simplify right side
    357,156x = 305,506,031,076
  5. Step 5: Solve for x
    x = 305,506,031,076/357,156
  6. Step 6: Final answer
    x = 855,385.41

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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.