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Finding the Third Proportional to 314,655,684 and 493,601,920.50

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Solution

The third proportional to 314,655,684 and 493,601,920.50 is: 774,315,762.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,655,684 : 493,601,920.50 = 493,601,920.50 : x
  2. Step 2: Convert to fraction form
    314,655,684/493,601,920.50 = 493,601,920.50/x
  3. Step 3: Cross multiply
    314,655,684x = 493,601,920.50 × 493,601,920.50
  4. Step 4: Simplify right side
    314,655,684x = 243,642,855,921,288,320
  5. Step 5: Solve for x
    x = 243,642,855,921,288,320/314,655,684
  6. Step 6: Final answer
    x = 774,315,762.63

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Why These Related Problems?

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