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Finding the Third Proportional to 374,284 and 575,307

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Solution

The third proportional to 374,284 and 575,307 is: 884,296.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,284 : 575,307 = 575,307 : x
  2. Step 2: Convert to fraction form
    374,284/575,307 = 575,307/x
  3. Step 3: Cross multiply
    374,284x = 575,307 × 575,307
  4. Step 4: Simplify right side
    374,284x = 330,978,144,249
  5. Step 5: Solve for x
    x = 330,978,144,249/374,284
  6. Step 6: Final answer
    x = 884,296.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.