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Finding the Third Proportional to 452,196 and 719,804

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Solution

The third proportional to 452,196 and 719,804 is: 1,145,781.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,196 : 719,804 = 719,804 : x
  2. Step 2: Convert to fraction form
    452,196/719,804 = 719,804/x
  3. Step 3: Cross multiply
    452,196x = 719,804 × 719,804
  4. Step 4: Simplify right side
    452,196x = 518,117,798,416
  5. Step 5: Solve for x
    x = 518,117,798,416/452,196
  6. Step 6: Final answer
    x = 1,145,781.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.