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Finding the Third Proportional to 459,746 and 713,535

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Solution

The third proportional to 459,746 and 713,535 is: 1,107,420.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,746 : 713,535 = 713,535 : x
  2. Step 2: Convert to fraction form
    459,746/713,535 = 713,535/x
  3. Step 3: Cross multiply
    459,746x = 713,535 × 713,535
  4. Step 4: Simplify right side
    459,746x = 509,132,196,225
  5. Step 5: Solve for x
    x = 509,132,196,225/459,746
  6. Step 6: Final answer
    x = 1,107,420.61

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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.