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Finding the Third Proportional to 473,307.75 and 1,041,271.88

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Solution

The third proportional to 473,307.75 and 1,041,271.88 is: 2,290,786.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,307.75 : 1,041,271.88 = 1,041,271.88 : x
  2. Step 2: Convert to fraction form
    473,307.75/1,041,271.88 = 1,041,271.88/x
  3. Step 3: Cross multiply
    473,307.75x = 1,041,271.88 × 1,041,271.88
  4. Step 4: Simplify right side
    473,307.75x = 1,084,247,117,666.02
  5. Step 5: Solve for x
    x = 1,084,247,117,666.02/473,307.75
  6. Step 6: Final answer
    x = 2,290,786.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.