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Finding the Third Proportional to 368,430 and 807,000

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Solution

The third proportional to 368,430 and 807,000 is: 1,767,632.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,430 : 807,000 = 807,000 : x
  2. Step 2: Convert to fraction form
    368,430/807,000 = 807,000/x
  3. Step 3: Cross multiply
    368,430x = 807,000 × 807,000
  4. Step 4: Simplify right side
    368,430x = 651,249,000,000
  5. Step 5: Solve for x
    x = 651,249,000,000/368,430
  6. Step 6: Final answer
    x = 1,767,632.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.