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Finding the Third Proportional to 403,501.50 and 544,973.06

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Solution

The third proportional to 403,501.50 and 544,973.06 is: 736,045.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,501.50 : 544,973.06 = 544,973.06 : x
  2. Step 2: Convert to fraction form
    403,501.50/544,973.06 = 544,973.06/x
  3. Step 3: Cross multiply
    403,501.50x = 544,973.06 × 544,973.06
  4. Step 4: Simplify right side
    403,501.50x = 296,995,638,850.63
  5. Step 5: Solve for x
    x = 296,995,638,850.63/403,501.50
  6. Step 6: Final answer
    x = 736,045.94

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.