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Finding the Third Proportional to 563,070 and 829,671

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Solution

The third proportional to 563,070 and 829,671 is: 1,222,501.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,070 : 829,671 = 829,671 : x
  2. Step 2: Convert to fraction form
    563,070/829,671 = 829,671/x
  3. Step 3: Cross multiply
    563,070x = 829,671 × 829,671
  4. Step 4: Simplify right side
    563,070x = 688,353,968,241
  5. Step 5: Solve for x
    x = 688,353,968,241/563,070
  6. Step 6: Final answer
    x = 1,222,501.59

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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.