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Finding the Third Proportional to 570,024 and 902,569.50

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Solution

The third proportional to 570,024 and 902,569.50 is: 1,429,118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,024 : 902,569.50 = 902,569.50 : x
  2. Step 2: Convert to fraction form
    570,024/902,569.50 = 902,569.50/x
  3. Step 3: Cross multiply
    570,024x = 902,569.50 × 902,569.50
  4. Step 4: Simplify right side
    570,024x = 814,631,702,330.25
  5. Step 5: Solve for x
    x = 814,631,702,330.25/570,024
  6. Step 6: Final answer
    x = 1,429,118.25

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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.