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Finding the Third Proportional to 362,184,496 and 785,617,516

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Solution

The third proportional to 362,184,496 and 785,617,516 is: 1,704,089,734.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,184,496 : 785,617,516 = 785,617,516 : x
  2. Step 2: Convert to fraction form
    362,184,496/785,617,516 = 785,617,516/x
  3. Step 3: Cross multiply
    362,184,496x = 785,617,516 × 785,617,516
  4. Step 4: Simplify right side
    362,184,496x = 617,194,881,446,010,240
  5. Step 5: Solve for x
    x = 617,194,881,446,010,240/362,184,496
  6. Step 6: Final answer
    x = 1,704,089,734.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.