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Finding the Third Proportional to 295,634.25 and 456,574.50

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Solution

The third proportional to 295,634.25 and 456,574.50 is: 705,128.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,634.25 : 456,574.50 = 456,574.50 : x
  2. Step 2: Convert to fraction form
    295,634.25/456,574.50 = 456,574.50/x
  3. Step 3: Cross multiply
    295,634.25x = 456,574.50 × 456,574.50
  4. Step 4: Simplify right side
    295,634.25x = 208,460,274,050.25
  5. Step 5: Solve for x
    x = 208,460,274,050.25/295,634.25
  6. Step 6: Final answer
    x = 705,128.97

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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.