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Finding the Third Proportional to 358,502 and 780,224

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Solution

The third proportional to 358,502 and 780,224 is: 1,698,036.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,502 : 780,224 = 780,224 : x
  2. Step 2: Convert to fraction form
    358,502/780,224 = 780,224/x
  3. Step 3: Cross multiply
    358,502x = 780,224 × 780,224
  4. Step 4: Simplify right side
    358,502x = 608,749,490,176
  5. Step 5: Solve for x
    x = 608,749,490,176/358,502
  6. Step 6: Final answer
    x = 1,698,036.52

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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.