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Finding the Third Proportional to 364,040 and 569,829

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Solution

The third proportional to 364,040 and 569,829 is: 891,948.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,040 : 569,829 = 569,829 : x
  2. Step 2: Convert to fraction form
    364,040/569,829 = 569,829/x
  3. Step 3: Cross multiply
    364,040x = 569,829 × 569,829
  4. Step 4: Simplify right side
    364,040x = 324,705,089,241
  5. Step 5: Solve for x
    x = 324,705,089,241/364,040
  6. Step 6: Final answer
    x = 891,948.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.