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Finding the Third Proportional to 310,322,259 and 464,628,271.50

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Solution

The third proportional to 310,322,259 and 464,628,271.50 is: 695,662,088.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,322,259 : 464,628,271.50 = 464,628,271.50 : x
  2. Step 2: Convert to fraction form
    310,322,259/464,628,271.50 = 464,628,271.50/x
  3. Step 3: Cross multiply
    310,322,259x = 464,628,271.50 × 464,628,271.50
  4. Step 4: Simplify right side
    310,322,259x = 215,879,430,677,077,728
  5. Step 5: Solve for x
    x = 215,879,430,677,077,728/310,322,259
  6. Step 6: Final answer
    x = 695,662,088.09

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Why These Related Problems?

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