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Finding the Third Proportional to 237,852 and 499,058.25

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Solution

The third proportional to 237,852 and 499,058.25 is: 1,047,118.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,852 : 499,058.25 = 499,058.25 : x
  2. Step 2: Convert to fraction form
    237,852/499,058.25 = 499,058.25/x
  3. Step 3: Cross multiply
    237,852x = 499,058.25 × 499,058.25
  4. Step 4: Simplify right side
    237,852x = 249,059,136,893.06
  5. Step 5: Solve for x
    x = 249,059,136,893.06/237,852
  6. Step 6: Final answer
    x = 1,047,118.11

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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.