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Finding the Third Proportional to 426,752 and 930,304

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Solution

The third proportional to 426,752 and 930,304 is: 2,028,029.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,752 : 930,304 = 930,304 : x
  2. Step 2: Convert to fraction form
    426,752/930,304 = 930,304/x
  3. Step 3: Cross multiply
    426,752x = 930,304 × 930,304
  4. Step 4: Simplify right side
    426,752x = 865,465,532,416
  5. Step 5: Solve for x
    x = 865,465,532,416/426,752
  6. Step 6: Final answer
    x = 2,028,029.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.