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Finding the Third Proportional to 371,613 and 569,403

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Solution

The third proportional to 371,613 and 569,403 is: 872,466.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,613 : 569,403 = 569,403 : x
  2. Step 2: Convert to fraction form
    371,613/569,403 = 569,403/x
  3. Step 3: Cross multiply
    371,613x = 569,403 × 569,403
  4. Step 4: Simplify right side
    371,613x = 324,219,776,409
  5. Step 5: Solve for x
    x = 324,219,776,409/371,613
  6. Step 6: Final answer
    x = 872,466.19

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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.