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Finding the Third Proportional to 514,756,280 and 724,890,268

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Solution

The third proportional to 514,756,280 and 724,890,268 is: 1,020,805,225.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,756,280 : 724,890,268 = 724,890,268 : x
  2. Step 2: Convert to fraction form
    514,756,280/724,890,268 = 724,890,268/x
  3. Step 3: Cross multiply
    514,756,280x = 724,890,268 × 724,890,268
  4. Step 4: Simplify right side
    514,756,280x = 525,465,900,641,111,808
  5. Step 5: Solve for x
    x = 525,465,900,641,111,808/514,756,280
  6. Step 6: Final answer
    x = 1,020,805,225.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.