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Finding the Third Proportional to 359,592 and 788,304

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Solution

The third proportional to 359,592 and 788,304 is: 1,728,134.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,592 : 788,304 = 788,304 : x
  2. Step 2: Convert to fraction form
    359,592/788,304 = 788,304/x
  3. Step 3: Cross multiply
    359,592x = 788,304 × 788,304
  4. Step 4: Simplify right side
    359,592x = 621,423,196,416
  5. Step 5: Solve for x
    x = 621,423,196,416/359,592
  6. Step 6: Final answer
    x = 1,728,134.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.