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Finding the Third Proportional to 385,393,547 and 549,392,500

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Solution

The third proportional to 385,393,547 and 549,392,500 is: 783,178,964.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,393,547 : 549,392,500 = 549,392,500 : x
  2. Step 2: Convert to fraction form
    385,393,547/549,392,500 = 549,392,500/x
  3. Step 3: Cross multiply
    385,393,547x = 549,392,500 × 549,392,500
  4. Step 4: Simplify right side
    385,393,547x = 301,832,119,056,249,984
  5. Step 5: Solve for x
    x = 301,832,119,056,249,984/385,393,547
  6. Step 6: Final answer
    x = 783,178,964.48

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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.