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Finding the Third Proportional to 388,044 and 583,510

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Solution

The third proportional to 388,044 and 583,510 is: 877,436.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,044 : 583,510 = 583,510 : x
  2. Step 2: Convert to fraction form
    388,044/583,510 = 583,510/x
  3. Step 3: Cross multiply
    388,044x = 583,510 × 583,510
  4. Step 4: Simplify right side
    388,044x = 340,483,920,100
  5. Step 5: Solve for x
    x = 340,483,920,100/388,044
  6. Step 6: Final answer
    x = 877,436.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.