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Finding the Third Proportional to 368,806 and 569,585

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Solution

The third proportional to 368,806 and 569,585 is: 879,668.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,806 : 569,585 = 569,585 : x
  2. Step 2: Convert to fraction form
    368,806/569,585 = 569,585/x
  3. Step 3: Cross multiply
    368,806x = 569,585 × 569,585
  4. Step 4: Simplify right side
    368,806x = 324,427,072,225
  5. Step 5: Solve for x
    x = 324,427,072,225/368,806
  6. Step 6: Final answer
    x = 879,668.64

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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.