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Finding the Third Proportional to 350,539,723.50 and 759,249,168

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Solution

The third proportional to 350,539,723.50 and 759,249,168 is: 1,644,490,653.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,539,723.50 : 759,249,168 = 759,249,168 : x
  2. Step 2: Convert to fraction form
    350,539,723.50/759,249,168 = 759,249,168/x
  3. Step 3: Cross multiply
    350,539,723.50x = 759,249,168 × 759,249,168
  4. Step 4: Simplify right side
    350,539,723.50x = 576,459,299,108,692,224
  5. Step 5: Solve for x
    x = 576,459,299,108,692,224/350,539,723.50
  6. Step 6: Final answer
    x = 1,644,490,653.88

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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.