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Finding the Third Proportional to 459,051 and 701,730

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Solution

The third proportional to 459,051 and 701,730 is: 1,072,702.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,051 : 701,730 = 701,730 : x
  2. Step 2: Convert to fraction form
    459,051/701,730 = 701,730/x
  3. Step 3: Cross multiply
    459,051x = 701,730 × 701,730
  4. Step 4: Simplify right side
    459,051x = 492,424,992,900
  5. Step 5: Solve for x
    x = 492,424,992,900/459,051
  6. Step 6: Final answer
    x = 1,072,702.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.