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Finding the Third Proportional to 295,653 and 455,062.50

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Solution

The third proportional to 295,653 and 455,062.50 is: 700,422.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,653 : 455,062.50 = 455,062.50 : x
  2. Step 2: Convert to fraction form
    295,653/455,062.50 = 455,062.50/x
  3. Step 3: Cross multiply
    295,653x = 455,062.50 × 455,062.50
  4. Step 4: Simplify right side
    295,653x = 207,081,878,906.25
  5. Step 5: Solve for x
    x = 207,081,878,906.25/295,653
  6. Step 6: Final answer
    x = 700,422.05

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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.