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Finding the Third Proportional to 295,610 and 458,594

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Solution

The third proportional to 295,610 and 458,594 is: 711,438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,610 : 458,594 = 458,594 : x
  2. Step 2: Convert to fraction form
    295,610/458,594 = 458,594/x
  3. Step 3: Cross multiply
    295,610x = 458,594 × 458,594
  4. Step 4: Simplify right side
    295,610x = 210,308,456,836
  5. Step 5: Solve for x
    x = 210,308,456,836/295,610
  6. Step 6: Final answer
    x = 711,438.91

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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.