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Finding the Third Proportional to 358,076 and 753,015

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Solution

The third proportional to 358,076 and 753,015 is: 1,583,550.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,076 : 753,015 = 753,015 : x
  2. Step 2: Convert to fraction form
    358,076/753,015 = 753,015/x
  3. Step 3: Cross multiply
    358,076x = 753,015 × 753,015
  4. Step 4: Simplify right side
    358,076x = 567,031,590,225
  5. Step 5: Solve for x
    x = 567,031,590,225/358,076
  6. Step 6: Final answer
    x = 1,583,550.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.