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Finding the Third Proportional to 295,261 and 458,066

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Solution

The third proportional to 295,261 and 458,066 is: 710,640.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,261 : 458,066 = 458,066 : x
  2. Step 2: Convert to fraction form
    295,261/458,066 = 458,066/x
  3. Step 3: Cross multiply
    295,261x = 458,066 × 458,066
  4. Step 4: Simplify right side
    295,261x = 209,824,460,356
  5. Step 5: Solve for x
    x = 209,824,460,356/295,261
  6. Step 6: Final answer
    x = 710,640.62

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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.