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Finding the Third Proportional to 335,209,528 and 517,162,474.50

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Solution

The third proportional to 335,209,528 and 517,162,474.50 is: 797,880,139.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,209,528 : 517,162,474.50 = 517,162,474.50 : x
  2. Step 2: Convert to fraction form
    335,209,528/517,162,474.50 = 517,162,474.50/x
  3. Step 3: Cross multiply
    335,209,528x = 517,162,474.50 × 517,162,474.50
  4. Step 4: Simplify right side
    335,209,528x = 267,457,025,030,963,136
  5. Step 5: Solve for x
    x = 267,457,025,030,963,136/335,209,528
  6. Step 6: Final answer
    x = 797,880,139.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.