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Finding the Third Proportional to 277,767 and 375,507

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Solution

The third proportional to 277,767 and 375,507 is: 507,639.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,767 : 375,507 = 375,507 : x
  2. Step 2: Convert to fraction form
    277,767/375,507 = 375,507/x
  3. Step 3: Cross multiply
    277,767x = 375,507 × 375,507
  4. Step 4: Simplify right side
    277,767x = 141,005,507,049
  5. Step 5: Solve for x
    x = 141,005,507,049/277,767
  6. Step 6: Final answer
    x = 507,639.52

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.