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Finding the Third Proportional to 570,807 and 750,748.50

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Solution

The third proportional to 570,807 and 750,748.50 is: 987,414.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,807 : 750,748.50 = 750,748.50 : x
  2. Step 2: Convert to fraction form
    570,807/750,748.50 = 750,748.50/x
  3. Step 3: Cross multiply
    570,807x = 750,748.50 × 750,748.50
  4. Step 4: Simplify right side
    570,807x = 563,623,310,252.25
  5. Step 5: Solve for x
    x = 563,623,310,252.25/570,807
  6. Step 6: Final answer
    x = 987,414.85

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.