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Finding the Third Proportional to 575,217 and 900,369

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Solution

The third proportional to 575,217 and 900,369 is: 1,409,319.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,217 : 900,369 = 900,369 : x
  2. Step 2: Convert to fraction form
    575,217/900,369 = 900,369/x
  3. Step 3: Cross multiply
    575,217x = 900,369 × 900,369
  4. Step 4: Simplify right side
    575,217x = 810,664,336,161
  5. Step 5: Solve for x
    x = 810,664,336,161/575,217
  6. Step 6: Final answer
    x = 1,409,319.15

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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.