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Finding the Third Proportional to 295,130 and 453,435

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Solution

The third proportional to 295,130 and 453,435 is: 696,653.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,130 : 453,435 = 453,435 : x
  2. Step 2: Convert to fraction form
    295,130/453,435 = 453,435/x
  3. Step 3: Cross multiply
    295,130x = 453,435 × 453,435
  4. Step 4: Simplify right side
    295,130x = 205,603,299,225
  5. Step 5: Solve for x
    x = 205,603,299,225/295,130
  6. Step 6: Final answer
    x = 696,653.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.