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Finding the Third Proportional to 368,850 and 569,655

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Solution

The third proportional to 368,850 and 569,655 is: 879,779.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,850 : 569,655 = 569,655 : x
  2. Step 2: Convert to fraction form
    368,850/569,655 = 569,655/x
  3. Step 3: Cross multiply
    368,850x = 569,655 × 569,655
  4. Step 4: Simplify right side
    368,850x = 324,506,819,025
  5. Step 5: Solve for x
    x = 324,506,819,025/368,850
  6. Step 6: Final answer
    x = 879,779.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.