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Finding the Third Proportional to 562,999 and 829,603

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Solution

The third proportional to 562,999 and 829,603 is: 1,222,455.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,999 : 829,603 = 829,603 : x
  2. Step 2: Convert to fraction form
    562,999/829,603 = 829,603/x
  3. Step 3: Cross multiply
    562,999x = 829,603 × 829,603
  4. Step 4: Simplify right side
    562,999x = 688,241,137,609
  5. Step 5: Solve for x
    x = 688,241,137,609/562,999
  6. Step 6: Final answer
    x = 1,222,455.35

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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.