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Finding the Third Proportional to 507,255 and 759,276

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Solution

The third proportional to 507,255 and 759,276 is: 1,136,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,255 : 759,276 = 759,276 : x
  2. Step 2: Convert to fraction form
    507,255/759,276 = 759,276/x
  3. Step 3: Cross multiply
    507,255x = 759,276 × 759,276
  4. Step 4: Simplify right side
    507,255x = 576,500,044,176
  5. Step 5: Solve for x
    x = 576,500,044,176/507,255
  6. Step 6: Final answer
    x = 1,136,509.34

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Why These Related Problems?

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