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Finding the Third Proportional to 233,773 and 507,397

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Solution

The third proportional to 233,773 and 507,397 is: 1,101,289.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,773 : 507,397 = 507,397 : x
  2. Step 2: Convert to fraction form
    233,773/507,397 = 507,397/x
  3. Step 3: Cross multiply
    233,773x = 507,397 × 507,397
  4. Step 4: Simplify right side
    233,773x = 257,451,715,609
  5. Step 5: Solve for x
    x = 257,451,715,609/233,773
  6. Step 6: Final answer
    x = 1,101,289.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.