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Finding the Third Proportional to 358,592 and 772,508

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Solution

The third proportional to 358,592 and 772,508 is: 1,664,199.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,592 : 772,508 = 772,508 : x
  2. Step 2: Convert to fraction form
    358,592/772,508 = 772,508/x
  3. Step 3: Cross multiply
    358,592x = 772,508 × 772,508
  4. Step 4: Simplify right side
    358,592x = 596,768,610,064
  5. Step 5: Solve for x
    x = 596,768,610,064/358,592
  6. Step 6: Final answer
    x = 1,664,199.45

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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.