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Finding the Third Proportional to 277,520 and 601,696

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Solution

The third proportional to 277,520 and 601,696 is: 1,304,547.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,520 : 601,696 = 601,696 : x
  2. Step 2: Convert to fraction form
    277,520/601,696 = 601,696/x
  3. Step 3: Cross multiply
    277,520x = 601,696 × 601,696
  4. Step 4: Simplify right side
    277,520x = 362,038,076,416
  5. Step 5: Solve for x
    x = 362,038,076,416/277,520
  6. Step 6: Final answer
    x = 1,304,547.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.