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Finding the Third Proportional to 430,915.75 and 652,373

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Solution

The third proportional to 430,915.75 and 652,373 is: 987,642.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,915.75 : 652,373 = 652,373 : x
  2. Step 2: Convert to fraction form
    430,915.75/652,373 = 652,373/x
  3. Step 3: Cross multiply
    430,915.75x = 652,373 × 652,373
  4. Step 4: Simplify right side
    430,915.75x = 425,590,531,129
  5. Step 5: Solve for x
    x = 425,590,531,129/430,915.75
  6. Step 6: Final answer
    x = 987,642.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.