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Finding the Third Proportional to 482,788 and 730,396

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Solution

The third proportional to 482,788 and 730,396 is: 1,104,994.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,788 : 730,396 = 730,396 : x
  2. Step 2: Convert to fraction form
    482,788/730,396 = 730,396/x
  3. Step 3: Cross multiply
    482,788x = 730,396 × 730,396
  4. Step 4: Simplify right side
    482,788x = 533,478,316,816
  5. Step 5: Solve for x
    x = 533,478,316,816/482,788
  6. Step 6: Final answer
    x = 1,104,994.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.