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Finding the Third Proportional to 233,354 and 508,943

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Solution

The third proportional to 233,354 and 508,943 is: 1,110,000.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,354 : 508,943 = 508,943 : x
  2. Step 2: Convert to fraction form
    233,354/508,943 = 508,943/x
  3. Step 3: Cross multiply
    233,354x = 508,943 × 508,943
  4. Step 4: Simplify right side
    233,354x = 259,022,977,249
  5. Step 5: Solve for x
    x = 259,022,977,249/233,354
  6. Step 6: Final answer
    x = 1,110,000.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.