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Finding the Third Proportional to 237,516 and 498,072

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Solution

The third proportional to 237,516 and 498,072 is: 1,044,458.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,516 : 498,072 = 498,072 : x
  2. Step 2: Convert to fraction form
    237,516/498,072 = 498,072/x
  3. Step 3: Cross multiply
    237,516x = 498,072 × 498,072
  4. Step 4: Simplify right side
    237,516x = 248,075,717,184
  5. Step 5: Solve for x
    x = 248,075,717,184/237,516
  6. Step 6: Final answer
    x = 1,044,458.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.