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Finding the Third Proportional to 458,335,209 and 726,948,091.50

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Solution

The third proportional to 458,335,209 and 726,948,091.50 is: 1,152,984,796.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,335,209 : 726,948,091.50 = 726,948,091.50 : x
  2. Step 2: Convert to fraction form
    458,335,209/726,948,091.50 = 726,948,091.50/x
  3. Step 3: Cross multiply
    458,335,209x = 726,948,091.50 × 726,948,091.50
  4. Step 4: Simplify right side
    458,335,209x = 528,453,527,735,492,352
  5. Step 5: Solve for x
    x = 528,453,527,735,492,352/458,335,209
  6. Step 6: Final answer
    x = 1,152,984,796.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.