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Finding the Third Proportional to 473,830 and 677,582

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Solution

The third proportional to 473,830 and 677,582 is: 968,949.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,830 : 677,582 = 677,582 : x
  2. Step 2: Convert to fraction form
    473,830/677,582 = 677,582/x
  3. Step 3: Cross multiply
    473,830x = 677,582 × 677,582
  4. Step 4: Simplify right side
    473,830x = 459,117,366,724
  5. Step 5: Solve for x
    x = 459,117,366,724/473,830
  6. Step 6: Final answer
    x = 968,949.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.