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Finding the Third Proportional to 459,056 and 709,077

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Solution

The third proportional to 459,056 and 709,077 is: 1,095,269.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,056 : 709,077 = 709,077 : x
  2. Step 2: Convert to fraction form
    459,056/709,077 = 709,077/x
  3. Step 3: Cross multiply
    459,056x = 709,077 × 709,077
  4. Step 4: Simplify right side
    459,056x = 502,790,191,929
  5. Step 5: Solve for x
    x = 502,790,191,929/459,056
  6. Step 6: Final answer
    x = 1,095,269.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.