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Finding the Third Proportional to 615,205 and 963,128.50

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Solution

The third proportional to 615,205 and 963,128.50 is: 1,507,816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,205 : 963,128.50 = 963,128.50 : x
  2. Step 2: Convert to fraction form
    615,205/963,128.50 = 963,128.50/x
  3. Step 3: Cross multiply
    615,205x = 963,128.50 × 963,128.50
  4. Step 4: Simplify right side
    615,205x = 927,616,507,512.25
  5. Step 5: Solve for x
    x = 927,616,507,512.25/615,205
  6. Step 6: Final answer
    x = 1,507,816.92

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.