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Finding the Third Proportional to 295,130 and 645,664

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Solution

The third proportional to 295,130 and 645,664 is: 1,412,536.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,130 : 645,664 = 645,664 : x
  2. Step 2: Convert to fraction form
    295,130/645,664 = 645,664/x
  3. Step 3: Cross multiply
    295,130x = 645,664 × 645,664
  4. Step 4: Simplify right side
    295,130x = 416,882,000,896
  5. Step 5: Solve for x
    x = 416,882,000,896/295,130
  6. Step 6: Final answer
    x = 1,412,536.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.