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Finding the Third Proportional to 388,298 and 830,583

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Solution

The third proportional to 388,298 and 830,583 is: 1,776,646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,298 : 830,583 = 830,583 : x
  2. Step 2: Convert to fraction form
    388,298/830,583 = 830,583/x
  3. Step 3: Cross multiply
    388,298x = 830,583 × 830,583
  4. Step 4: Simplify right side
    388,298x = 689,868,119,889
  5. Step 5: Solve for x
    x = 689,868,119,889/388,298
  6. Step 6: Final answer
    x = 1,776,646.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.