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Finding the Third Proportional to 295,650 and 455,058

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Solution

The third proportional to 295,650 and 455,058 is: 700,415.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,650 : 455,058 = 455,058 : x
  2. Step 2: Convert to fraction form
    295,650/455,058 = 455,058/x
  3. Step 3: Cross multiply
    295,650x = 455,058 × 455,058
  4. Step 4: Simplify right side
    295,650x = 207,077,783,364
  5. Step 5: Solve for x
    x = 207,077,783,364/295,650
  6. Step 6: Final answer
    x = 700,415.30

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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.