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Finding the Third Proportional to 358,044 and 780,000

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Solution

The third proportional to 358,044 and 780,000 is: 1,699,232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,044 : 780,000 = 780,000 : x
  2. Step 2: Convert to fraction form
    358,044/780,000 = 780,000/x
  3. Step 3: Cross multiply
    358,044x = 780,000 × 780,000
  4. Step 4: Simplify right side
    358,044x = 608,400,000,000
  5. Step 5: Solve for x
    x = 608,400,000,000/358,044
  6. Step 6: Final answer
    x = 1,699,232.50

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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.