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Finding the Third Proportional to 459,063 and 712,543.50

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Solution

The third proportional to 459,063 and 712,543.50 is: 1,105,988.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,063 : 712,543.50 = 712,543.50 : x
  2. Step 2: Convert to fraction form
    459,063/712,543.50 = 712,543.50/x
  3. Step 3: Cross multiply
    459,063x = 712,543.50 × 712,543.50
  4. Step 4: Simplify right side
    459,063x = 507,718,239,392.25
  5. Step 5: Solve for x
    x = 507,718,239,392.25/459,063
  6. Step 6: Final answer
    x = 1,105,988.15

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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.