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Finding the Third Proportional to 569,973 and 889,465.50

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Solution

The third proportional to 569,973 and 889,465.50 is: 1,388,046.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,973 : 889,465.50 = 889,465.50 : x
  2. Step 2: Convert to fraction form
    569,973/889,465.50 = 889,465.50/x
  3. Step 3: Cross multiply
    569,973x = 889,465.50 × 889,465.50
  4. Step 4: Simplify right side
    569,973x = 791,148,875,690.25
  5. Step 5: Solve for x
    x = 791,148,875,690.25/569,973
  6. Step 6: Final answer
    x = 1,388,046.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.