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Finding the Third Proportional to 469,303.88 and 703,971

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Solution

The third proportional to 469,303.88 and 703,971 is: 1,055,979.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,303.88 : 703,971 = 703,971 : x
  2. Step 2: Convert to fraction form
    469,303.88/703,971 = 703,971/x
  3. Step 3: Cross multiply
    469,303.88x = 703,971 × 703,971
  4. Step 4: Simplify right side
    469,303.88x = 495,575,168,841
  5. Step 5: Solve for x
    x = 495,575,168,841/469,303.88
  6. Step 6: Final answer
    x = 1,055,979.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.