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Finding the Third Proportional to 430,432,653 and 603,982,228.50

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Solution

The third proportional to 430,432,653 and 603,982,228.50 is: 847,506,641.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,432,653 : 603,982,228.50 = 603,982,228.50 : x
  2. Step 2: Convert to fraction form
    430,432,653/603,982,228.50 = 603,982,228.50/x
  3. Step 3: Cross multiply
    430,432,653x = 603,982,228.50 × 603,982,228.50
  4. Step 4: Simplify right side
    430,432,653x = 364,794,532,343,826,240
  5. Step 5: Solve for x
    x = 364,794,532,343,826,240/430,432,653
  6. Step 6: Final answer
    x = 847,506,641.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.