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Finding the Third Proportional to 385,393,551 and 549,392,506

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Solution

The third proportional to 385,393,551 and 549,392,506 is: 783,178,973.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,393,551 : 549,392,506 = 549,392,506 : x
  2. Step 2: Convert to fraction form
    385,393,551/549,392,506 = 549,392,506/x
  3. Step 3: Cross multiply
    385,393,551x = 549,392,506 × 549,392,506
  4. Step 4: Simplify right side
    385,393,551x = 301,832,125,648,960,064
  5. Step 5: Solve for x
    x = 301,832,125,648,960,064/385,393,551
  6. Step 6: Final answer
    x = 783,178,973.46

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