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Finding the Third Proportional to 295,634 and 456,572

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Solution

The third proportional to 295,634 and 456,572 is: 705,121.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,634 : 456,572 = 456,572 : x
  2. Step 2: Convert to fraction form
    295,634/456,572 = 456,572/x
  3. Step 3: Cross multiply
    295,634x = 456,572 × 456,572
  4. Step 4: Simplify right side
    295,634x = 208,457,991,184
  5. Step 5: Solve for x
    x = 208,457,991,184/295,634
  6. Step 6: Final answer
    x = 705,121.84

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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.