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Finding the Third Proportional to 297,014 and 460,316

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Solution

The third proportional to 297,014 and 460,316 is: 713,403.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,014 : 460,316 = 460,316 : x
  2. Step 2: Convert to fraction form
    297,014/460,316 = 460,316/x
  3. Step 3: Cross multiply
    297,014x = 460,316 × 460,316
  4. Step 4: Simplify right side
    297,014x = 211,890,819,856
  5. Step 5: Solve for x
    x = 211,890,819,856/297,014
  6. Step 6: Final answer
    x = 713,403.48

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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.