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Finding the Third Proportional to 258,596,465 and 574,588,549

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Solution

The third proportional to 258,596,465 and 574,588,549 is: 1,276,707,323.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,596,465 : 574,588,549 = 574,588,549 : x
  2. Step 2: Convert to fraction form
    258,596,465/574,588,549 = 574,588,549/x
  3. Step 3: Cross multiply
    258,596,465x = 574,588,549 × 574,588,549
  4. Step 4: Simplify right side
    258,596,465x = 330,152,000,641,925,376
  5. Step 5: Solve for x
    x = 330,152,000,641,925,376/258,596,465
  6. Step 6: Final answer
    x = 1,276,707,323.29

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.