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Finding the Third Proportional to 575,567 and 900,921

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Solution

The third proportional to 575,567 and 900,921 is: 1,410,189.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,567 : 900,921 = 900,921 : x
  2. Step 2: Convert to fraction form
    575,567/900,921 = 900,921/x
  3. Step 3: Cross multiply
    575,567x = 900,921 × 900,921
  4. Step 4: Simplify right side
    575,567x = 811,658,648,241
  5. Step 5: Solve for x
    x = 811,658,648,241/575,567
  6. Step 6: Final answer
    x = 1,410,189.69

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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.