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Finding the Third Proportional to 360,128 and 776,076

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Solution

The third proportional to 360,128 and 776,076 is: 1,672,444.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,128 : 776,076 = 776,076 : x
  2. Step 2: Convert to fraction form
    360,128/776,076 = 776,076/x
  3. Step 3: Cross multiply
    360,128x = 776,076 × 776,076
  4. Step 4: Simplify right side
    360,128x = 602,293,957,776
  5. Step 5: Solve for x
    x = 602,293,957,776/360,128
  6. Step 6: Final answer
    x = 1,672,444.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.