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Finding the Third Proportional to 237,411 and 501,309

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Solution

The third proportional to 237,411 and 501,309 is: 1,058,547.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,411 : 501,309 = 501,309 : x
  2. Step 2: Convert to fraction form
    237,411/501,309 = 501,309/x
  3. Step 3: Cross multiply
    237,411x = 501,309 × 501,309
  4. Step 4: Simplify right side
    237,411x = 251,310,713,481
  5. Step 5: Solve for x
    x = 251,310,713,481/237,411
  6. Step 6: Final answer
    x = 1,058,547.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.