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Finding the Third Proportional to 375,680 and 550,033

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Solution

The third proportional to 375,680 and 550,033 is: 805,303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,680 : 550,033 = 550,033 : x
  2. Step 2: Convert to fraction form
    375,680/550,033 = 550,033/x
  3. Step 3: Cross multiply
    375,680x = 550,033 × 550,033
  4. Step 4: Simplify right side
    375,680x = 302,536,301,089
  5. Step 5: Solve for x
    x = 302,536,301,089/375,680
  6. Step 6: Final answer
    x = 805,303.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.