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Finding the Third Proportional to 368,818 and 569,603

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Solution

The third proportional to 368,818 and 569,603 is: 879,695.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,818 : 569,603 = 569,603 : x
  2. Step 2: Convert to fraction form
    368,818/569,603 = 569,603/x
  3. Step 3: Cross multiply
    368,818x = 569,603 × 569,603
  4. Step 4: Simplify right side
    368,818x = 324,447,577,609
  5. Step 5: Solve for x
    x = 324,447,577,609/368,818
  6. Step 6: Final answer
    x = 879,695.62

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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.