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Finding the Third Proportional to 498,038,445 and 744,312,706.50

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Solution

The third proportional to 498,038,445 and 744,312,706.50 is: 1,112,366,747.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,038,445 : 744,312,706.50 = 744,312,706.50 : x
  2. Step 2: Convert to fraction form
    498,038,445/744,312,706.50 = 744,312,706.50/x
  3. Step 3: Cross multiply
    498,038,445x = 744,312,706.50 × 744,312,706.50
  4. Step 4: Simplify right side
    498,038,445x = 554,001,405,057,355,136
  5. Step 5: Solve for x
    x = 554,001,405,057,355,136/498,038,445
  6. Step 6: Final answer
    x = 1,112,366,747.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.