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Finding the Third Proportional to 569,862 and 902,362.50

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Solution

The third proportional to 569,862 and 902,362.50 is: 1,428,868.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,862 : 902,362.50 = 902,362.50 : x
  2. Step 2: Convert to fraction form
    569,862/902,362.50 = 902,362.50/x
  3. Step 3: Cross multiply
    569,862x = 902,362.50 × 902,362.50
  4. Step 4: Simplify right side
    569,862x = 814,258,081,406.25
  5. Step 5: Solve for x
    x = 814,258,081,406.25/569,862
  6. Step 6: Final answer
    x = 1,428,868.89

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.