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Finding the Third Proportional to 508,048.50 and 748,038

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Solution

The third proportional to 508,048.50 and 748,038 is: 1,101,392.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,048.50 : 748,038 = 748,038 : x
  2. Step 2: Convert to fraction form
    508,048.50/748,038 = 748,038/x
  3. Step 3: Cross multiply
    508,048.50x = 748,038 × 748,038
  4. Step 4: Simplify right side
    508,048.50x = 559,560,849,444
  5. Step 5: Solve for x
    x = 559,560,849,444/508,048.50
  6. Step 6: Final answer
    x = 1,101,392.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.