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Finding the Third Proportional to 402,816 and 877,532

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Solution

The third proportional to 402,816 and 877,532 is: 1,911,697.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,816 : 877,532 = 877,532 : x
  2. Step 2: Convert to fraction form
    402,816/877,532 = 877,532/x
  3. Step 3: Cross multiply
    402,816x = 877,532 × 877,532
  4. Step 4: Simplify right side
    402,816x = 770,062,411,024
  5. Step 5: Solve for x
    x = 770,062,411,024/402,816
  6. Step 6: Final answer
    x = 1,911,697.68

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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.