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Finding the Third Proportional to 293,062 and 457,090

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Solution

The third proportional to 293,062 and 457,090 is: 712,925.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,062 : 457,090 = 457,090 : x
  2. Step 2: Convert to fraction form
    293,062/457,090 = 457,090/x
  3. Step 3: Cross multiply
    293,062x = 457,090 × 457,090
  4. Step 4: Simplify right side
    293,062x = 208,931,268,100
  5. Step 5: Solve for x
    x = 208,931,268,100/293,062
  6. Step 6: Final answer
    x = 712,925.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.