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Finding the Third Proportional to 355,323 and 531,297

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Solution

The third proportional to 355,323 and 531,297 is: 794,422.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,323 : 531,297 = 531,297 : x
  2. Step 2: Convert to fraction form
    355,323/531,297 = 531,297/x
  3. Step 3: Cross multiply
    355,323x = 531,297 × 531,297
  4. Step 4: Simplify right side
    355,323x = 282,276,502,209
  5. Step 5: Solve for x
    x = 282,276,502,209/355,323
  6. Step 6: Final answer
    x = 794,422.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.