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Finding the Third Proportional to 454,230 and 705,309.75

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Solution

The third proportional to 454,230 and 705,309.75 is: 1,095,176.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,230 : 705,309.75 = 705,309.75 : x
  2. Step 2: Convert to fraction form
    454,230/705,309.75 = 705,309.75/x
  3. Step 3: Cross multiply
    454,230x = 705,309.75 × 705,309.75
  4. Step 4: Simplify right side
    454,230x = 497,461,843,445.06
  5. Step 5: Solve for x
    x = 497,461,843,445.06/454,230
  6. Step 6: Final answer
    x = 1,095,176.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.