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Finding the Third Proportional to 434,974,437 and 658,779,223.50

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Solution

The third proportional to 434,974,437 and 658,779,223.50 is: 997,736,943.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,974,437 : 658,779,223.50 = 658,779,223.50 : x
  2. Step 2: Convert to fraction form
    434,974,437/658,779,223.50 = 658,779,223.50/x
  3. Step 3: Cross multiply
    434,974,437x = 658,779,223.50 × 658,779,223.50
  4. Step 4: Simplify right side
    434,974,437x = 433,990,065,315,262,976
  5. Step 5: Solve for x
    x = 433,990,065,315,262,976/434,974,437
  6. Step 6: Final answer
    x = 997,736,943.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.