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Finding the Third Proportional to 310,430.25 and 475,897.50

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Solution

The third proportional to 310,430.25 and 475,897.50 is: 729,563.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,430.25 : 475,897.50 = 475,897.50 : x
  2. Step 2: Convert to fraction form
    310,430.25/475,897.50 = 475,897.50/x
  3. Step 3: Cross multiply
    310,430.25x = 475,897.50 × 475,897.50
  4. Step 4: Simplify right side
    310,430.25x = 226,478,430,506.25
  5. Step 5: Solve for x
    x = 226,478,430,506.25/310,430.25
  6. Step 6: Final answer
    x = 729,563.02

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.