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Finding the Third Proportional to 310,076 and 465,117

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Solution

The third proportional to 310,076 and 465,117 is: 697,680.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,076 : 465,117 = 465,117 : x
  2. Step 2: Convert to fraction form
    310,076/465,117 = 465,117/x
  3. Step 3: Cross multiply
    310,076x = 465,117 × 465,117
  4. Step 4: Simplify right side
    310,076x = 216,333,823,689
  5. Step 5: Solve for x
    x = 216,333,823,689/310,076
  6. Step 6: Final answer
    x = 697,680.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.