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Finding the Third Proportional to 488,104 and 716,316

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Solution

The third proportional to 488,104 and 716,316 is: 1,051,228.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,104 : 716,316 = 716,316 : x
  2. Step 2: Convert to fraction form
    488,104/716,316 = 716,316/x
  3. Step 3: Cross multiply
    488,104x = 716,316 × 716,316
  4. Step 4: Simplify right side
    488,104x = 513,108,611,856
  5. Step 5: Solve for x
    x = 513,108,611,856/488,104
  6. Step 6: Final answer
    x = 1,051,228.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.