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Finding the Third Proportional to 599,510,506 and 899,265,698.50

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Solution

The third proportional to 599,510,506 and 899,265,698.50 is: 1,348,898,457.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,510,506 : 899,265,698.50 = 899,265,698.50 : x
  2. Step 2: Convert to fraction form
    599,510,506/899,265,698.50 = 899,265,698.50/x
  3. Step 3: Cross multiply
    599,510,506x = 899,265,698.50 × 899,265,698.50
  4. Step 4: Simplify right side
    599,510,506x = 808,678,796,498,692,864
  5. Step 5: Solve for x
    x = 808,678,796,498,692,864/599,510,506
  6. Step 6: Final answer
    x = 1,348,898,457.00

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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.