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Finding the Third Proportional to 358,605 and 780,297

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Solution

The third proportional to 358,605 and 780,297 is: 1,697,866.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,605 : 780,297 = 780,297 : x
  2. Step 2: Convert to fraction form
    358,605/780,297 = 780,297/x
  3. Step 3: Cross multiply
    358,605x = 780,297 × 780,297
  4. Step 4: Simplify right side
    358,605x = 608,863,408,209
  5. Step 5: Solve for x
    x = 608,863,408,209/358,605
  6. Step 6: Final answer
    x = 1,697,866.48

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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.