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Finding the Third Proportional to 295,136 and 652,296

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Solution

The third proportional to 295,136 and 652,296 is: 1,441,674.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,136 : 652,296 = 652,296 : x
  2. Step 2: Convert to fraction form
    295,136/652,296 = 652,296/x
  3. Step 3: Cross multiply
    295,136x = 652,296 × 652,296
  4. Step 4: Simplify right side
    295,136x = 425,490,071,616
  5. Step 5: Solve for x
    x = 425,490,071,616/295,136
  6. Step 6: Final answer
    x = 1,441,674.59

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.