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Finding the Third Proportional to 553,419 and 833,996.25

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Solution

The third proportional to 553,419 and 833,996.25 is: 1,256,823.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,419 : 833,996.25 = 833,996.25 : x
  2. Step 2: Convert to fraction form
    553,419/833,996.25 = 833,996.25/x
  3. Step 3: Cross multiply
    553,419x = 833,996.25 × 833,996.25
  4. Step 4: Simplify right side
    553,419x = 695,549,745,014.06
  5. Step 5: Solve for x
    x = 695,549,745,014.06/553,419
  6. Step 6: Final answer
    x = 1,256,823.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.