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Finding the Third Proportional to 277,528 and 597,155

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Solution

The third proportional to 277,528 and 597,155 is: 1,284,894.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,528 : 597,155 = 597,155 : x
  2. Step 2: Convert to fraction form
    277,528/597,155 = 597,155/x
  3. Step 3: Cross multiply
    277,528x = 597,155 × 597,155
  4. Step 4: Simplify right side
    277,528x = 356,594,094,025
  5. Step 5: Solve for x
    x = 356,594,094,025/277,528
  6. Step 6: Final answer
    x = 1,284,894.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.