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Finding the Third Proportional to 358,824 and 487,527

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Solution

The third proportional to 358,824 and 487,527 is: 662,393.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,824 : 487,527 = 487,527 : x
  2. Step 2: Convert to fraction form
    358,824/487,527 = 487,527/x
  3. Step 3: Cross multiply
    358,824x = 487,527 × 487,527
  4. Step 4: Simplify right side
    358,824x = 237,682,575,729
  5. Step 5: Solve for x
    x = 237,682,575,729/358,824
  6. Step 6: Final answer
    x = 662,393.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.