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Finding the Third Proportional to 277,532 and 606,428

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Solution

The third proportional to 277,532 and 606,428 is: 1,325,090.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,532 : 606,428 = 606,428 : x
  2. Step 2: Convert to fraction form
    277,532/606,428 = 606,428/x
  3. Step 3: Cross multiply
    277,532x = 606,428 × 606,428
  4. Step 4: Simplify right side
    277,532x = 367,754,919,184
  5. Step 5: Solve for x
    x = 367,754,919,184/277,532
  6. Step 6: Final answer
    x = 1,325,090.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.