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Finding the Third Proportional to 654,417 and 942,547.50

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Solution

The third proportional to 654,417 and 942,547.50 is: 1,357,537.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,417 : 942,547.50 = 942,547.50 : x
  2. Step 2: Convert to fraction form
    654,417/942,547.50 = 942,547.50/x
  3. Step 3: Cross multiply
    654,417x = 942,547.50 × 942,547.50
  4. Step 4: Simplify right side
    654,417x = 888,395,789,756.25
  5. Step 5: Solve for x
    x = 888,395,789,756.25/654,417
  6. Step 6: Final answer
    x = 1,357,537.76

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.