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Finding the Third Proportional to 364,718 and 758,428

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Solution

The third proportional to 364,718 and 758,428 is: 1,577,144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,718 : 758,428 = 758,428 : x
  2. Step 2: Convert to fraction form
    364,718/758,428 = 758,428/x
  3. Step 3: Cross multiply
    364,718x = 758,428 × 758,428
  4. Step 4: Simplify right side
    364,718x = 575,213,031,184
  5. Step 5: Solve for x
    x = 575,213,031,184/364,718
  6. Step 6: Final answer
    x = 1,577,144.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.