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Finding the Third Proportional to 306,261,924 and 470,746,724

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Solution

The third proportional to 306,261,924 and 470,746,724 is: 723,571,756.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,261,924 : 470,746,724 = 470,746,724 : x
  2. Step 2: Convert to fraction form
    306,261,924/470,746,724 = 470,746,724/x
  3. Step 3: Cross multiply
    306,261,924x = 470,746,724 × 470,746,724
  4. Step 4: Simplify right side
    306,261,924x = 221,602,478,156,732,160
  5. Step 5: Solve for x
    x = 221,602,478,156,732,160/306,261,924
  6. Step 6: Final answer
    x = 723,571,756.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.