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Finding the Third Proportional to 497,606.06 and 750,533.06

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Solution

The third proportional to 497,606.06 and 750,533.06 is: 1,132,019.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,606.06 : 750,533.06 = 750,533.06 : x
  2. Step 2: Convert to fraction form
    497,606.06/750,533.06 = 750,533.06/x
  3. Step 3: Cross multiply
    497,606.06x = 750,533.06 × 750,533.06
  4. Step 4: Simplify right side
    497,606.06x = 563,299,877,905.63
  5. Step 5: Solve for x
    x = 563,299,877,905.63/497,606.06
  6. Step 6: Final answer
    x = 1,132,019.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.