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Finding the Third Proportional to 385,329,964 and 549,294,702

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Solution

The third proportional to 385,329,964 and 549,294,702 is: 783,029,345.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,329,964 : 549,294,702 = 549,294,702 : x
  2. Step 2: Convert to fraction form
    385,329,964/549,294,702 = 549,294,702/x
  3. Step 3: Cross multiply
    385,329,964x = 549,294,702 × 549,294,702
  4. Step 4: Simplify right side
    385,329,964x = 301,724,669,645,268,800
  5. Step 5: Solve for x
    x = 301,724,669,645,268,800/385,329,964
  6. Step 6: Final answer
    x = 783,029,345.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.