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Finding the Third Proportional to 354,886,498 and 776,561,060

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Solution

The third proportional to 354,886,498 and 776,561,060 is: 1,699,267,465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,886,498 : 776,561,060 = 776,561,060 : x
  2. Step 2: Convert to fraction form
    354,886,498/776,561,060 = 776,561,060/x
  3. Step 3: Cross multiply
    354,886,498x = 776,561,060 × 776,561,060
  4. Step 4: Simplify right side
    354,886,498x = 603,047,079,908,323,584
  5. Step 5: Solve for x
    x = 603,047,079,908,323,584/354,886,498
  6. Step 6: Final answer
    x = 1,699,267,465.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.