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Finding the Third Proportional to 366,476 and 788,354

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Solution

The third proportional to 366,476 and 788,354 is: 1,695,887.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,476 : 788,354 = 788,354 : x
  2. Step 2: Convert to fraction form
    366,476/788,354 = 788,354/x
  3. Step 3: Cross multiply
    366,476x = 788,354 × 788,354
  4. Step 4: Simplify right side
    366,476x = 621,502,029,316
  5. Step 5: Solve for x
    x = 621,502,029,316/366,476
  6. Step 6: Final answer
    x = 1,695,887.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.